120031579259904 has 352 divisors, whose sum is σ = 368286501913344. Its totient is φ = 34465374535680.

The previous prime is 120031579259869. The next prime is 120031579259941. The reversal of 120031579259904 is 409952975130021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36066012 + ... + 39253284.

Almost surely, 2^{120031579259904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120031579259904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184143250956672).

120031579259904 is an abundant number, since it is smaller than the sum of its proper divisors (248254922653440).

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

120031579259904 is a wasteful number, since it uses less digits than its factorization.

120031579259904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187373 (or 3187355 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 57.

The spelling of 120031579259904 in words is "one hundred twenty trillion, thirty-one billion, five hundred seventy-nine million, two hundred fifty-nine thousand, nine hundred four".