12944968036000 has 1152 divisors, whose sum is σ = 45467837775360. Its totient is φ = 3505102848000.

The previous prime is 12944968035931. The next prime is 12944968036043. The reversal of 12944968036000 is 63086944921.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 191 ways as a sum of consecutive naturals, for example, 884876686 + ... + 884891314.

It is an arithmetic number, because the mean of its divisors is an integer number (39468609180).

Almost surely, 2^{12944968036000} is an apocalyptic number.

12944968036000 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 12944968036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22733918887680).

12944968036000 is an abundant number, since it is smaller than the sum of its proper divisors (32522869739360).

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

12944968036000 is a wasteful number, since it uses less digits than its factorization.

12944968036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14715 (or 14684 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 12944968036000 in words is "twelve trillion, nine hundred forty-four billion, nine hundred sixty-eight million, thirty-six thousand".