120864292304 has 80 divisors (see below), whose sum is σ = 271524288000. Its totient is φ = 51049377792.

The previous prime is 120864292273. The next prime is 120864292321. The reversal of 120864292304 is 403292468021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2573222 + ... + 2619770.

It is an arithmetic number, because the mean of its divisors is an integer number (3394053600).

Almost surely, 2^120864292304 is an apocalyptic number.

120864292304 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 120864292304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135762144000).

120864292304 is an abundant number, since it is smaller than the sum of its proper divisors (150659995696).

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

120864292304 is a wasteful number, since it uses less digits than its factorization.

120864292304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46900 (or 46894 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 120864292304 in words is "one hundred twenty billion, eight hundred sixty-four million, two hundred ninety-two thousand, three hundred four".