120058432 has 56 divisors (see below), whose sum is σ = 259040376. Its totient is φ = 54878208.

The previous prime is 120058429. The next prime is 120058441. The reversal of 120058432 is 234850021.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 119771136 = 536^2 + 10944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120058397 and 120058406.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 93378 + ... + 94654.

It is an arithmetic number, because the mean of its divisors is an integer number (4625721).

Almost surely, 2^120058432 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 120058432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129520188).

120058432 is an abundant number, since it is smaller than the sum of its proper divisors (138981944).

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

120058432 is a wasteful number, since it uses less digits than its factorization.

120058432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 120058432 is about 10957.1178692209. The cubic root of 120058432 is about 493.3224605996.

The spelling of 120058432 in words is "one hundred twenty million, fifty-eight thousand, four hundred thirty-two".