12733262976000 has 1408 divisors, whose sum is σ = 49873425039360. Its totient is φ = 2823634944000.

The previous prime is 12733262975971. The next prime is 12733262976059. The reversal of 12733262976000 is 67926233721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12953471509 + ... + 12953472491.

Almost surely, 2^{12733262976000} is an apocalyptic number.

12733262976000 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 12733262976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24936712519680).

12733262976000 is an abundant number, since it is smaller than the sum of its proper divisors (37140162063360).

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

12733262976000 is an equidigital number, since it uses as much as digits as its factorization.

12733262976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 12733262976000 in words is "twelve trillion, seven hundred thirty-three billion, two hundred sixty-two million, nine hundred seventy-six thousand".