12963797998200 has 3072 divisors, whose sum is σ = 57596313600000. Its totient is φ = 2614042368000.

The previous prime is 12963797998189. The next prime is 12963797998213. The reversal of 12963797998200 is 289979736921.

12963797998200 is a `hidden beast` number, since 1 + 2 + 96 + 379 + 7 + 99 + 82 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 93264733731 + ... + 93264733869.

It is an arithmetic number, because the mean of its divisors is an integer number (18748800000).

Almost surely, 2^{12963797998200} is an apocalyptic number.

12963797998200 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 12963797998200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28798156800000).

12963797998200 is an abundant number, since it is smaller than the sum of its proper divisors (44632515601800).

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

12963797998200 is a wasteful number, since it uses less digits than its factorization.

12963797998200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 72.

The spelling of 12963797998200 in words is "twelve trillion, nine hundred sixty-three billion, seven hundred ninety-seven million, nine hundred ninety-eight thousand, two hundred".