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The largest integer n for which (n) = n/4. [Woods] 120 = 3^{1} + 3^{2} + 3^{3} + 3^{4}. [Sladcik] 120^120119^119 is prime. [Dobb] 120 is the smallest composite number of the form x! whose digit sum and x are primes. [Capelle] All primes (except 2 and 3) are of form 6*n +/ 1. Note that 120 = 6*20 is the first number such that 6n+1 or 6n1 does not contain a prime. [Luhn] 120 is the smallest threedigit number that may be expressed as the difference between the squares of consecutive primes in two different ways (120 = 31^2  29^2 = 17^2  13^2). [King] The smallest number whose the sum of the reciprocals of its divisors is an odd prime. [Loungrides]
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