12414125616 has 160 divisors (see below), whose sum is σ = 34176050688. Its totient is φ = 3874590720.

The previous prime is 12414125599. The next prime is 12414125641. The reversal of 12414125616 is 61652141421.

It is a super-2 number, since 2×12414125616² (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, 22694655 + ... + 22695201.

Almost surely, 2^12414125616 is an apocalyptic number.

12414125616 is a gapful number since it is divisible by the number (16) 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 12414125616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17088025344).

12414125616 is an abundant number, since it is smaller than the sum of its proper divisors (21761925072).

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

12414125616 is a wasteful number, since it uses less digits than its factorization.

12414125616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The spelling of 12414125616 in words is "twelve billion, four hundred fourteen million, one hundred twenty-five thousand, six hundred sixteen".