12407079168 has 432 divisors, whose sum is σ = 40785256512. Its totient is φ = 3594240000.

The previous prime is 12407079119. The next prime is 12407079169. The reversal of 12407079168 is 86197070421.

It is a happy number.

12407079168 is a `hidden beast` number, since 12 + 407 + 0 + 79 + 168 = 666.

It is a super-2 number, since 2×12407079168² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12407079169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94710463 + ... + 94710593.

It is an arithmetic number, because the mean of its divisors is an integer number (94410316).

Almost surely, 2^12407079168 is an apocalyptic number.

12407079168 is a gapful number since it is divisible by the number (18) 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 12407079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20392628256).

12407079168 is an abundant number, since it is smaller than the sum of its proper divisors (28378177344).

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

12407079168 is a wasteful number, since it uses less digits than its factorization.

12407079168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12407079168 in words is "twelve billion, four hundred seven million, seventy-nine thousand, one hundred sixty-eight".