120080838528 has 320 divisors, whose sum is σ = 409238010720. Its totient is φ = 34239283200.

The previous prime is 120080838509. The next prime is 120080838541. The reversal of 120080838528 is 825838080021.

120080838528 is a `hidden beast` number, since 12 + 0 + 0 + 80 + 8 + 38 + 528 = 666.

120080838528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43616800 + ... + 43619552.

Almost surely, 2^120080838528 is an apocalyptic number.

120080838528 is a gapful number since it is divisible by the number (18) 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 120080838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204619005360).

120080838528 is an abundant number, since it is smaller than the sum of its proper divisors (289157172192).

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

120080838528 is an equidigital number, since it uses as much as digits as its factorization.

120080838528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 120080838528 in words is "one hundred twenty billion, eighty million, eight hundred thirty-eight thousand, five hundred twenty-eight".