12053315120 has 160 divisors (see below), whose sum is σ = 35599150080. Its totient is φ = 3685893120.

The previous prime is 12053315093. The next prime is 12053315149. The reversal of 12053315120 is 2151335021.

It is a happy number.

It is a super-2 number, since 2×12053315120² (a number of 21 digits) contains 22 as substring.

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, 308021 + ... + 344939.

It is an arithmetic number, because the mean of its divisors is an integer number (222494688).

Almost surely, 2^12053315120 is an apocalyptic number.

12053315120 is a gapful number since it is divisible by the number (10) 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 12053315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17799575040).

12053315120 is an abundant number, since it is smaller than the sum of its proper divisors (23545834960).

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

12053315120 is a wasteful number, since it uses less digits than its factorization.

12053315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37003 (or 36997 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 12053315120 in words is "twelve billion, fifty-three million, three hundred fifteen thousand, one hundred twenty".