120 (number)
From Wikipedia, the free encyclopedia.
120 (one hundred twenty in American English; one hundred and twenty in British English) is the natural number following 119 and preceding 121.
| |||
| Cardinal | One hundred [and] twenty | ||
| Ordinal | 120th | ||
| Factorization | |||
| Divisors | 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 60 | ||
| Roman numeral | CXX | ||
| Binary | 1111000 | ||
| Hexadecimal | 78 | ||
| Table of contents |
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2 In other fields 3 Other numbers in the 120s |
In mathematics
One hundred twenty is a highly composite number, and the factorial of 5. It is also the sum of a twin prime pair (59 + 61) as well as the sum of four consecutive primes (23 + 29 + 31 + 37). 120 is the smallest number to appear six times in Pascal's triangle.
It is a triangular number, as well as the sum of the first eight triangular numbers, making it also a tetrahedral number. Also, it's a hexagonal number.
One hundred twenty figures in Fermat's modified Diophantine problem as the largest known integer of the sequence 1, 3, 8, 120. Fermat wanted to find another positive integer that multiplied with any of the other numbers in the sequence yields a number that is one less than a square. Euler also searched for this number, but failed to find it, but did find a fractional number that meets the other conditions, 777480 / 287922.
The internal angles of a regular hexagon (one where all sides and all angles are equal) are all 120 degrees.
In other fields
One hundred twenty is also:
- Very significant in the Holy Bible, being ten times the number of tribes of Israel. It is the age Moses died at (Deuteronomy 34:7), the cubits of the height of the Temple (2 Chronicles 3:4), the number of princes King Darius set over his kingdom (Daniel 6:2), the number of talents of gold Queen Sheba gave to King Solomon in tribute (1 Kings 10:10), and the weight in shekels of total gold spoons offered by each tribe of Israel (Numbers 7:86).
- A medium film format introduced by Kodak in 1901 and still in use in 2004.
- In astrology, when two planets in a person's chart are 120 degrees apart from each other, this is called a trine. Supposedly this is supposed to bring good luck in the person's life.
- The designation of some spur routes of Interstate 20.
- The year AD 120 or 120 BC.
Other numbers in the 120s
One hundred twenty-one has its own article.
One hundred twenty-two (122, CXXII) is the natural number following one hundred twenty-one and preceding one hundred twenty-three. It is a composite number, and its factorization is One hundred twenty-two is also:
One hundred twenty-three (123, CXXIII) is the natural number following one hundred twenty-two and preceding one hundred twenty-four. It is a Lucas number and a composite number, and its factorization is One hundred twenty-three is also:
One hundred twenty-four (124, CXXIV) is the natural number following one hundred twenty-three and preceding one hundred twenty-five. It is a composite number, and its factorization is It is the sum of eight consecutive primes (5 + 7 + 11 + 13 + 17 + 19 + 23 + 29).
One hundred twenty-four is also:
One hundred twenty-five (125, CXXV) is the natural number following one hundred twenty-four and preceding one hundred twenty-six. It is a composite number, and its factorization is One hundred twenty-five is also:
One hundred twenty-six has its own article.
One hundred twenty-seven has its own article.
One hundred twenty-eight has its own article.
One hundred twenty-nine (129, CXXIX) is the natural number following one hundred twenty-eight and preceding one hundred thirty. It is a composite number, and its factorization is This number is the sum of the first ten prime numbers.
One hundred twenty-nine is also:
- The designation of a spur route of Interstate 29 in Sioux City, Iowa.
- The year AD 129 or 129 BC.