120814056 has 96 divisors (see below), whose sum is σ = 360659520. Its totient is φ = 36230400.

The previous prime is 120814039. The next prime is 120814069. The reversal of 120814056 is 650418021.

It is a super-2 number, since 2×120814056² = 29192072254342272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80836 + ... + 82316.

It is an arithmetic number, because the mean of its divisors is an integer number (3756870).

Almost surely, 2^120814056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120814056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180329760).

120814056 is an abundant number, since it is smaller than the sum of its proper divisors (239845464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120814056 is a wasteful number, since it uses less digits than its factorization.

120814056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120814056 is about 10991.5447503979. The cubic root of 120814056 is about 494.3552548502.

The spelling of 120814056 in words is "one hundred twenty million, eight hundred fourteen thousand, fifty-six".