12993930144000 has 1728 divisors, whose sum is σ = 54873917978880. Its totient is φ = 3009606451200.

The previous prime is 12993930143977. The next prime is 12993930144011. The reversal of 12993930144000 is 44103939921.

12993930144000 is a `hidden beast` number, since 129 + 93 + 9 + 30 + 1 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3246045999 + ... + 3246050001.

Almost surely, 2^{12993930144000} is an apocalyptic number.

12993930144000 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 12993930144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27436958989440).

12993930144000 is an abundant number, since it is smaller than the sum of its proper divisors (41879987834880).

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

12993930144000 is a wasteful number, since it uses less digits than its factorization.

12993930144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 12993930144000 in words is "twelve trillion, nine hundred ninety-three billion, nine hundred thirty million, one hundred forty-four thousand".