120957167808 has 140 divisors (see below), whose sum is σ = 374144651760. Its totient is φ = 38566015488.

The previous prime is 120957167801. The next prime is 120957167819. The reversal of 120957167808 is 808761759021.

120957167808 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 571 + 67 + 8 + 0 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (120957167801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 388003 + ... + 626466.

Almost surely, 2^120957167808 is an apocalyptic number.

120957167808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120957167808 is an abundant number, since it is smaller than the sum of its proper divisors (253187483952).

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

120957167808 is a wasteful number, since it uses less digits than its factorization.

120957167808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014516 (or 1014497 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 120957167808 in words is "one hundred twenty billion, nine hundred fifty-seven million, one hundred sixty-seven thousand, eight hundred eight".