12117645600 has 144 divisors (see below), whose sum is σ = 39631525920. Its totient is φ = 3215923200.

The previous prime is 12117645593. The next prime is 12117645613. The reversal of 12117645600 is 654671121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494436 + ... + 518364.

It is an arithmetic number, because the mean of its divisors is an integer number (275218930).

Almost surely, 2^12117645600 is an apocalyptic number.

12117645600 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 12117645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19815762960).

12117645600 is an abundant number, since it is smaller than the sum of its proper divisors (27513880320).

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

12117645600 is a wasteful number, since it uses less digits than its factorization.

12117645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24163 (or 24150 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 12117645600 in words is "twelve billion, one hundred seventeen million, six hundred forty-five thousand, six hundred".