12456801792 has 240 divisors, whose sum is σ = 37113785280. Its totient is φ = 4020043776.

The previous prime is 12456801787. The next prime is 12456801893. The reversal of 12456801792 is 29710865421.

12456801792 is a `hidden beast` number, since 12 + 4 + 568 + 0 + 1 + 79 + 2 = 666.

12456801792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12456801792² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24472834 + ... + 24473342.

It is an arithmetic number, because the mean of its divisors is an integer number (154640772).

Almost surely, 2^12456801792 is an apocalyptic number.

12456801792 is a gapful number since it is divisible by the number (12) 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 12456801792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556892640).

12456801792 is an abundant number, since it is smaller than the sum of its proper divisors (24656983488).

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

12456801792 is a wasteful number, since it uses less digits than its factorization.

12456801792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12456801792 in words is "twelve billion, four hundred fifty-six million, eight hundred one thousand, seven hundred ninety-two".