120896112960 has 672 divisors, whose sum is σ = 484058195712. Its totient is φ = 27126005760.

The previous prime is 120896112929. The next prime is 120896112983. The reversal of 120896112960 is 69211698021.

120896112960 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 9 + 611 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 412614574 + ... + 412614866.

It is an arithmetic number, because the mean of its divisors is an integer number (720324696).

Almost surely, 2^120896112960 is an apocalyptic number.

120896112960 is a gapful number since it is divisible by the number (10) 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 120896112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242029097856).

120896112960 is an abundant number, since it is smaller than the sum of its proper divisors (363162082752).

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

120896112960 is a wasteful number, since it uses less digits than its factorization.

120896112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 120896112960 in words is "one hundred twenty billion, eight hundred ninety-six million, one hundred twelve thousand, nine hundred sixty".