12793720224 has 96 divisors (see below), whose sum is σ = 35585948160. Its totient is φ = 4013280000.

The previous prime is 12793720223. The next prime is 12793720271. The reversal of 12793720224 is 42202739721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12793720224² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12793720223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252199 + ... + 298649.

It is an arithmetic number, because the mean of its divisors is an integer number (370686960).

Almost surely, 2^12793720224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12793720224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17792974080).

12793720224 is an abundant number, since it is smaller than the sum of its proper divisors (22792227936).

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

12793720224 is a wasteful number, since it uses less digits than its factorization.

12793720224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46634 (or 46626 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 12793720224 in words is "twelve billion, seven hundred ninety-three million, seven hundred twenty thousand, two hundred twenty-four".