120557956032 has 336 divisors, whose sum is σ = 365589885024. Its totient is φ = 37933056000.

The previous prime is 120557956009. The next prime is 120557956081. The reversal of 120557956032 is 230659755021.

120557956032 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 57 + 9 + 560 + 32 = 666.

It is a super-2 number, since 2×120557956032² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245535307 + ... + 245535797.

It is an arithmetic number, because the mean of its divisors is an integer number (1088065134).

Almost surely, 2^120557956032 is an apocalyptic number.

120557956032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120557956032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182794942512).

120557956032 is an abundant number, since it is smaller than the sum of its proper divisors (245031928992).

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

120557956032 is a wasteful number, since it uses less digits than its factorization.

120557956032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 120557956032 in words is "one hundred twenty billion, five hundred fifty-seven million, nine hundred fifty-six thousand, thirty-two".