120373128 has 60 divisors (see below), whose sum is σ = 337940295. Its totient is φ = 40031280.

The previous prime is 120373117. The next prime is 120373133. The reversal of 120373128 is 821373021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 60186564 + 60186564 = 7758^2 + 7758^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7758.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 279073 + ... + 279503.

Almost surely, 2^120373128 is an apocalyptic number.

120373128 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 120373128

120373128 is an abundant number, since it is smaller than the sum of its proper divisors (217567167).

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

120373128 is an frugal number, since it uses more digits than its factorization.

120373128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 120373128 is about 10971.4688168905. The cubic root of 120373128 is about 493.7531152290.

It can be divided in two parts, 120 and 373128, that added together give a cube (373248 = 72³).

The spelling of 120373128 in words is "one hundred twenty million, three hundred seventy-three thousand, one hundred twenty-eight".