120325579920 has 1440 divisors, whose sum is σ = 540795744000. Its totient is φ = 24568427520.

The previous prime is 120325579901. The next prime is 120325579961. The reversal of 120325579920 is 29975523021.

120325579920 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 2 + 557 + 9 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3881470305 + ... + 3881470335.

It is an arithmetic number, because the mean of its divisors is an integer number (375552600).

Almost surely, 2^120325579920 is an apocalyptic number.

120325579920 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 120325579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270397872000).

120325579920 is an abundant number, since it is smaller than the sum of its proper divisors (420470164080).

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

120325579920 is a wasteful number, since it uses less digits than its factorization.

120325579920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 120325579920 in words is "one hundred twenty billion, three hundred twenty-five million, five hundred seventy-nine thousand, nine hundred twenty".