12663872100 has 648 divisors, whose sum is σ = 46643993760. Its totient is φ = 2976652800.

The previous prime is 12663872069. The next prime is 12663872113. The reversal of 12663872100 is 127836621.

12663872100 is a `hidden beast` number, since 1 + 2 + 6 + 638 + 7 + 2 + 10 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 173477664 + ... + 173477736.

Almost surely, 2^12663872100 is an apocalyptic number.

12663872100 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 12663872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23321996880).

12663872100 is an abundant number, since it is smaller than the sum of its proper divisors (33980121660).

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

12663872100 is a wasteful number, since it uses less digits than its factorization.

12663872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12663872100 in words is "twelve billion, six hundred sixty-three million, eight hundred seventy-two thousand, one hundred".