12616151112 has 160 divisors (see below), whose sum is σ = 37782201600. Its totient is φ = 3919228416.

The previous prime is 12616151083. The next prime is 12616151113. The reversal of 12616151112 is 21115161621.

12616151112 is a `hidden beast` number, since 1 + 26 + 1 + 615 + 11 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12616151113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1129089 + ... + 1140207.

It is an arithmetic number, because the mean of its divisors is an integer number (236138760).

Almost surely, 2^12616151112 is an apocalyptic number.

12616151112 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 12616151112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18891100800).

12616151112 is an abundant number, since it is smaller than the sum of its proper divisors (25166050488).

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

12616151112 is a wasteful number, since it uses less digits than its factorization.

12616151112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11257 (or 11244 counting only the distinct ones).

The product of its digits is 720, while the sum is 27.

The spelling of 12616151112 in words is "twelve billion, six hundred sixteen million, one hundred fifty-one thousand, one hundred twelve".