12172305600 has 756 divisors, whose sum is σ = 54238757664. Its totient is φ = 2566287360.

The previous prime is 12172305599. The next prime is 12172305679. The reversal of 12172305600 is 650327121.

It is a happy number.

12172305600 is a `hidden beast` number, since 1 + 2 + 1 + 72 + 30 + 560 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9172137 + ... + 9173463.

Almost surely, 2^12172305600 is an apocalyptic number.

12172305600 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 12172305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27119378832).

12172305600 is an abundant number, since it is smaller than the sum of its proper divisors (42066452064).

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

12172305600 is a wasteful number, since it uses less digits than its factorization.

12172305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 12172305600 in words is "twelve billion, one hundred seventy-two million, three hundred five thousand, six hundred".