120013152 has 144 divisors (see below), whose sum is σ = 378749952. Its totient is φ = 33143040.

The previous prime is 120013141. The next prime is 120013171. The reversal of 120013152 is 251310021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145413 + ... + 146235.

It is an arithmetic number, because the mean of its divisors is an integer number (2630208).

Almost surely, 2^120013152 is an apocalyptic number.

120013152 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 120013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189374976).

120013152 is an abundant number, since it is smaller than the sum of its proper divisors (258736800).

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

120013152 is a wasteful number, since it uses less digits than its factorization.

120013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 120013152 is about 10955.0514375789. The cubic root of 120013152 is about 493.2604339974.

Adding to 120013152 its reverse (251310021), we get a palindrome (371323173).

The spelling of 120013152 in words is "one hundred twenty million, thirteen thousand, one hundred fifty-two".