12699772960 has 144 divisors (see below), whose sum is σ = 35753863320. Its totient is φ = 4247900160.

The previous prime is 12699772949. The next prime is 12699772991. The reversal of 12699772960 is 6927799621.

It can be written as a sum of positive squares in 4 ways, for example, as 4935343504 + 7764429456 = 70252^2 + 88116^2 .

It is a super-2 number, since 2×12699772960² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12699772895 and 12699772904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301686 + ... + 341194.

Almost surely, 2^12699772960 is an apocalyptic number.

12699772960 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 12699772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17876931660).

12699772960 is an abundant number, since it is smaller than the sum of its proper divisors (23054090360).

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

12699772960 is a wasteful number, since it uses less digits than its factorization.

12699772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39579 (or 39564 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 58.

The spelling of 12699772960 in words is "twelve billion, six hundred ninety-nine million, seven hundred seventy-two thousand, nine hundred sixty".