12413679600 has 720 divisors, whose sum is σ = 49346627328. Its totient is φ = 2654023680.

The previous prime is 12413679581. The next prime is 12413679601. The reversal of 12413679600 is 697631421.

It is a super-2 number, since 2×12413679600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413679601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90610732 + ... + 90610868.

Almost surely, 2^12413679600 is an apocalyptic number.

12413679600 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 12413679600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24673313664).

12413679600 is an abundant number, since it is smaller than the sum of its proper divisors (36932947728).

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

12413679600 is a wasteful number, since it uses less digits than its factorization.

12413679600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 12413679600 in words is "twelve billion, four hundred thirteen million, six hundred seventy-nine thousand, six hundred".