12996294784704 has 672 divisors, whose sum is σ = 49981769390592. Its totient is φ = 3124998144000.

The previous prime is 12996294784559. The next prime is 12996294784751. The reversal of 12996294784704 is 40748749269921.

12996294784704 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 62 + 94 + 7 + 8 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 45851739 + ... + 46134309.

Almost surely, 2^{12996294784704} is an apocalyptic number.

12996294784704 is a gapful number since it is divisible by the number (14) 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 12996294784704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24990884695296).

12996294784704 is an abundant number, since it is smaller than the sum of its proper divisors (36985474605888).

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

12996294784704 is a wasteful number, since it uses less digits than its factorization.

12996294784704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282685 (or 282672 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 12996294784704 in words is "twelve trillion, nine hundred ninety-six billion, two hundred ninety-four million, seven hundred eighty-four thousand, seven hundred four".