12616533120 has 256 divisors, whose sum is σ = 41412228480. Its totient is φ = 3265167360.

The previous prime is 12616533019. The next prime is 12616533157. The reversal of 12616533120 is 2133561621.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 23064687 + ... + 23065233.

Almost surely, 2^12616533120 is an apocalyptic number.

12616533120 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 12616533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20706114240).

12616533120 is an abundant number, since it is smaller than the sum of its proper divisors (28795695360).

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

12616533120 is a wasteful number, since it uses less digits than its factorization.

12616533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 12616533120 in words is "twelve billion, six hundred sixteen million, five hundred thirty-three thousand, one hundred twenty".