12625973100 has 648 divisors, whose sum is σ = 47948649840. Its totient is φ = 2760376320.

The previous prime is 12625973093. The next prime is 12625973111. The reversal of 12625973100 is 137952621.

12625973100 is a `hidden beast` number, since 1 + 2 + 62 + 597 + 3 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×12625973100² (a number of 21 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 49128172 + ... + 49128428.

It is an arithmetic number, because the mean of its divisors is an integer number (73994830).

Almost surely, 2^12625973100 is an apocalyptic number.

12625973100 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 12625973100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23974324920).

12625973100 is an abundant number, since it is smaller than the sum of its proper divisors (35322676740).

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

12625973100 is a wasteful number, since it uses less digits than its factorization.

12625973100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12625973100 in words is "twelve billion, six hundred twenty-five million, nine hundred seventy-three thousand, one hundred".