12643792200 has 240 divisors, whose sum is σ = 47292532980. Its totient is φ = 3112266240.

The previous prime is 12643792199. The next prime is 12643792223. The reversal of 12643792200 is 229734621.

12643792200 is a `hidden beast` number, since 1 + 2 + 64 + 379 + 220 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4252865796 + 8390926404 = 65214^2 + 91602^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 180582 + ... + 240618.

Almost surely, 2^12643792200 is an apocalyptic number.

12643792200 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 12643792200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23646266490).

12643792200 is an abundant number, since it is smaller than the sum of its proper divisors (34648740780).

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

12643792200 is a wasteful number, since it uses less digits than its factorization.

12643792200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60078 (or 60060 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12643792200 in words is "twelve billion, six hundred forty-three million, seven hundred ninety-two thousand, two hundred".