12126931600 has 180 divisors, whose sum is σ = 34226422464. Its totient is φ = 4116752640.

The previous prime is 12126931591. The next prime is 12126931637. The reversal of 12126931600 is 613962121.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2015797 + ... + 2021803.

Almost surely, 2^12126931600 is an apocalyptic number.

12126931600 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 12126931600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113211232).

12126931600 is an abundant number, since it is smaller than the sum of its proper divisors (22099490864).

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

12126931600 is a wasteful number, since it uses less digits than its factorization.

12126931600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142 (or 6124 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 12126931600 in words is "twelve billion, one hundred twenty-six million, nine hundred thirty-one thousand, six hundred".