12981493324800 has 7128 divisors, whose sum is σ = 69342996170448. Its totient is φ = 2288988979200.

The previous prime is 12981493324759. The next prime is 12981493324831. The reversal of 12981493324800 is 842339418921.

12981493324800 is a `hidden beast` number, since 1 + 2 + 9 + 81 + 493 + 32 + 48 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 301895193579 + ... + 301895193621.

Almost surely, 2^{12981493324800} is an apocalyptic number.

12981493324800 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 12981493324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34671498085224).

12981493324800 is an abundant number, since it is smaller than the sum of its proper divisors (56361502845648).

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

12981493324800 is a wasteful number, since it uses less digits than its factorization.

12981493324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 12981493324800 in words is "twelve trillion, nine hundred eighty-one billion, four hundred ninety-three million, three hundred twenty-four thousand, eight hundred".