120926385216 has 560 divisors, whose sum is σ = 455472962560. Its totient is φ = 30860144640.

The previous prime is 120926385161. The next prime is 120926385233. The reversal of 120926385216 is 612583629021.

120926385216 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 2 + 638 + 5 + 2 + 1 + 6 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14619930 + ... + 14628198.

It is an arithmetic number, because the mean of its divisors is an integer number (813344576).

Almost surely, 2^120926385216 is an apocalyptic number.

120926385216 is a gapful number since it is divisible by the number (16) 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 120926385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227736481280).

120926385216 is an abundant number, since it is smaller than the sum of its proper divisors (334546577344).

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

120926385216 is a wasteful number, since it uses less digits than its factorization.

120926385216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344 (or 8325 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 120926385216 in words is "one hundred twenty billion, nine hundred twenty-six million, three hundred eighty-five thousand, two hundred sixteen".