23121679795200 has 792 divisors, whose sum is σ = 94708770403520. Its totient is φ = 5279617843200.

The previous prime is 23121679795147. The next prime is 23121679795229. The reversal of 23121679795200 is 259797612132.

23121679795200 is a `hidden beast` number, since 2 + 3 + 1 + 21 + 6 + 7 + 97 + 9 + 520 + 0 = 666.

It is a super-2 number, since 2×23121679795200² (a number of 28 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1724076495 + ... + 1724089905.

Almost surely, 2^{23121679795200} is an apocalyptic number.

23121679795200 is a gapful number since it is divisible by the number (20) 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 23121679795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47354385201760).

23121679795200 is an abundant number, since it is smaller than the sum of its proper divisors (71587090608320).

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

23121679795200 is a wasteful number, since it uses less digits than its factorization.

23121679795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14523 (or 14497 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 23121679795200 in words is "twenty-three trillion, one hundred twenty-one billion, six hundred seventy-nine million, seven hundred ninety-five thousand, two hundred".