12965916600 has 432 divisors, whose sum is σ = 53895769200. Its totient is φ = 2735216640.

The previous prime is 12965916589. The next prime is 12965916683. The reversal of 12965916600 is 661956921.

It is a happy number.

12965916600 is a `hidden beast` number, since 1 + 29 + 6 + 5 + 9 + 16 + 600 = 666.

It is a super-2 number, since 2×12965916600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2126356 + ... + 2132444.

It is an arithmetic number, because the mean of its divisors is an integer number (124758725).

Almost surely, 2^12965916600 is an apocalyptic number.

12965916600 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 12965916600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26947884600).

12965916600 is an abundant number, since it is smaller than the sum of its proper divisors (40929852600).

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

12965916600 is a wasteful number, since it uses less digits than its factorization.

12965916600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 12965916600 in words is "twelve billion, nine hundred sixty-five million, nine hundred sixteen thousand, six hundred".