120080128 has 72 divisors (see below), whose sum is σ = 276823008. Its totient is φ = 50921472.

The previous prime is 120080101. The next prime is 120080137. The reversal of 120080128 is 821080021.

It is a junction number, because it is equal to n+sod(n) for n = 120080099 and 120080108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202200 + ... + 202792.

It is an arithmetic number, because the mean of its divisors is an integer number (3844764).

Almost surely, 2^120080128 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 120080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138411504).

120080128 is an abundant number, since it is smaller than the sum of its proper divisors (156742880).

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

120080128 is an equidigital number, since it uses as much as digits as its factorization.

120080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 120080128 is about 10958.1078658681. The cubic root of 120080128 is about 493.3521752401.

The spelling of 120080128 in words is "one hundred twenty million, eighty thousand, one hundred twenty-eight".