120912455664 has 1920 divisors, whose sum is σ = 526466304000. Its totient is φ = 25360957440.

The previous prime is 120912455663. The next prime is 120912455669. The reversal of 120912455664 is 466554219021.

120912455664 is a `hidden beast` number, since 1 + 2 + 0 + 91 + 2 + 4 + 556 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120912455663) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2281367062 + ... + 2281367114.

It is an arithmetic number, because the mean of its divisors is an integer number (274201200).

Almost surely, 2^120912455664 is an apocalyptic number.

120912455664 is a gapful number since it is divisible by the number (14) 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 120912455664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263233152000).

120912455664 is an abundant number, since it is smaller than the sum of its proper divisors (405553848336).

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

120912455664 is a wasteful number, since it uses less digits than its factorization.

120912455664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 120912455664 in words is "one hundred twenty billion, nine hundred twelve million, four hundred fifty-five thousand, six hundred sixty-four".