12663682300800 has 240 divisors, whose sum is σ = 46731773484000. Its totient is φ = 3376981877760.

The previous prime is 12663682300751. The next prime is 12663682300807. The reversal of 12663682300800 is 800328636621.

It is a happy number.

12663682300800 is a `hidden beast` number, since 1 + 2 + 6 + 636 + 8 + 2 + 3 + 0 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12663682300807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 24169200 + ... + 24687599.

It is an arithmetic number, because the mean of its divisors is an integer number (194715722850).

Almost surely, 2^{12663682300800} is an apocalyptic number.

12663682300800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12663682300800 is an abundant number, since it is smaller than the sum of its proper divisors (34068091183200).

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

12663682300800 is an equidigital number, since it uses as much as digits as its factorization.

12663682300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48856835 (or 48856809 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12663682300800 in words is "twelve trillion, six hundred sixty-three billion, six hundred eighty-two million, three hundred thousand, eight hundred".