12712924224000 has 3840 divisors, whose sum is σ = 65146344367104. Its totient is φ = 2293235712000.

The previous prime is 12712924223969. The next prime is 12712924224001. The reversal of 12712924224000 is 42242921721.

12712924224000 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 2 + 9 + 242 + 2 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12712924224001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9801791352 + ... + 9801792648.

Almost surely, 2^{12712924224000} is an apocalyptic number.

12712924224000 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 12712924224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32573172183552).

12712924224000 is an abundant number, since it is smaller than the sum of its proper divisors (52433420143104).

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

12712924224000 is a wasteful number, since it uses less digits than its factorization.

12712924224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12712924224000 in words is "twelve trillion, seven hundred twelve billion, nine hundred twenty-four million, two hundred twenty-four thousand".