120032399520 has 288 divisors, whose sum is σ = 447177931200. Its totient is φ = 29077278720.

The previous prime is 120032399429. The next prime is 120032399533. The reversal of 120032399520 is 25993230021.

120032399520 is a `hidden beast` number, since 1 + 20 + 0 + 3 + 23 + 99 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36382831 + ... + 36386129.

It is an arithmetic number, because the mean of its divisors is an integer number (1552701150).

Almost surely, 2^120032399520 is an apocalyptic number.

120032399520 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 120032399520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223588965600).

120032399520 is an abundant number, since it is smaller than the sum of its proper divisors (327145531680).

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

120032399520 is a wasteful number, since it uses less digits than its factorization.

120032399520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 120032399520 in words is "one hundred twenty billion, thirty-two million, three hundred ninety-nine thousand, five hundred twenty".