12963990124800 has 3888 divisors, whose sum is σ = 60341149919232. Its totient is φ = 2708884684800.

The previous prime is 12963990124793. The next prime is 12963990124909. The reversal of 12963990124800 is 842109936921.

12963990124800 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 399 + 0 + 1 + 248 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 102078662337 + ... + 102078662463.

Almost surely, 2^{12963990124800} is an apocalyptic number.

12963990124800 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 12963990124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30170574959616).

12963990124800 is an abundant number, since it is smaller than the sum of its proper divisors (47377159794432).

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

12963990124800 is a wasteful number, since it uses less digits than its factorization.

12963990124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 12963990124800 in words is "twelve trillion, nine hundred sixty-three billion, nine hundred ninety million, one hundred twenty-four thousand, eight hundred".