12993709968 has 120 divisors (see below), whose sum is σ = 38318529600. Its totient is φ = 4098961152.

The previous prime is 12993709961. The next prime is 12993709991. The reversal of 12993709968 is 86990739921.

It is a happy number.

It is a super-2 number, since 2×12993709968² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12993709961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3492013 + ... + 3495731.

It is an arithmetic number, because the mean of its divisors is an integer number (319321080).

Almost surely, 2^12993709968 is an apocalyptic number.

12993709968 is a gapful number since it is divisible by the number (18) 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 12993709968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19159264800).

12993709968 is an abundant number, since it is smaller than the sum of its proper divisors (25324819632).

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

12993709968 is a wasteful number, since it uses less digits than its factorization.

12993709968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 12993709968 in words is "twelve billion, nine hundred ninety-three million, seven hundred nine thousand, nine hundred sixty-eight".