12719792232000 has 1344 divisors, whose sum is σ = 54166375710720. Its totient is φ = 2894476032000.

The previous prime is 12719792231953. The next prime is 12719792232001. The reversal of 12719792232000 is 23229791721.

12719792232000 is a `hidden beast` number, since 1 + 271 + 97 + 92 + 2 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-6 number, since 6×12719792232000⁶ (a number of 80 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12719792232001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3252310045 + ... + 3252313955.

It is an arithmetic number, because the mean of its divisors is an integer number (40302362880).

Almost surely, 2^{12719792232000} is an apocalyptic number.

12719792232000 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 12719792232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27083187855360).

12719792232000 is an abundant number, since it is smaller than the sum of its proper divisors (41446583478720).

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

12719792232000 is an equidigital number, since it uses as much as digits as its factorization.

12719792232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 12719792232000 in words is "twelve trillion, seven hundred nineteen billion, seven hundred ninety-two million, two hundred thirty-two thousand".