12689695200 has 576 divisors, whose sum is σ = 51446707200. Its totient is φ = 2645360640.

The previous prime is 12689695199. The next prime is 12689695219. The reversal of 12689695200 is 259698621.

12689695200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12689695200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12689695200.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 21184501 + ... + 21185099.

It is an arithmetic number, because the mean of its divisors is an integer number (89317200).

Almost surely, 2^12689695200 is an apocalyptic number.

12689695200 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 12689695200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25723353600).

12689695200 is an abundant number, since it is smaller than the sum of its proper divisors (38757012000).

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

12689695200 is a wasteful number, since it uses less digits than its factorization.

12689695200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 12689695200 in words is "twelve billion, six hundred eighty-nine million, six hundred ninety-five thousand, two hundred".