120580128 has 72 divisors (see below), whose sum is σ = 344962800. Its totient is φ = 39951744.

The previous prime is 120580123. The next prime is 120580147. The reversal of 120580128 is 821085021.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (120580121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50383 + ... + 52721.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2^120580128 is an apocalyptic number.

120580128 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 120580128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172481400).

120580128 is an abundant number, since it is smaller than the sum of its proper divisors (224382672).

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

120580128 is a wasteful number, since it uses less digits than its factorization.

120580128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 120580128 is about 10980.8983239077. The cubic root of 120580128 is about 494.0359811412.

The spelling of 120580128 in words is "one hundred twenty million, five hundred eighty thousand, one hundred twenty-eight".