120415152 has 160 divisors (see below), whose sum is σ = 373476096. Its totient is φ = 32947200.

The previous prime is 120415123. The next prime is 120415213. The reversal of 120415152 is 251514021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363627 + ... + 363957.

Almost surely, 2^120415152 is an apocalyptic number.

120415152 is a gapful number since it is divisible by the number (12) 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 120415152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186738048).

120415152 is an abundant number, since it is smaller than the sum of its proper divisors (253060944).

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

120415152 is a wasteful number, since it uses less digits than its factorization.

120415152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 120415152 is about 10973.3837989929. The cubic root of 120415152 is about 493.8105673283.

Adding to 120415152 its reverse (251514021), we get a palindrome (371929173).

The spelling of 120415152 in words is "one hundred twenty million, four hundred fifteen thousand, one hundred fifty-two".