12769684200 has 1152 divisors, whose sum is σ = 56600544000. Its totient is φ = 2560481280.

The previous prime is 12769684183. The next prime is 12769684253. The reversal of 12769684200 is 248696721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 296969379 + ... + 296969421.

Almost surely, 2^12769684200 is an apocalyptic number.

12769684200 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 12769684200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28300272000).

12769684200 is an abundant number, since it is smaller than the sum of its proper divisors (43830859800).

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

12769684200 is a wasteful number, since it uses less digits than its factorization.

12769684200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12769684200 in words is "twelve billion, seven hundred sixty-nine million, six hundred eighty-four thousand, two hundred".