12964669200 has 720 divisors, whose sum is σ = 55567264896. Its totient is φ = 2731622400.

The previous prime is 12964669169. The next prime is 12964669219. The reversal of 12964669200 is 296646921.

12964669200 is a `hidden beast` number, since 12 + 96 + 466 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22704915 + ... + 22705485.

Almost surely, 2^12964669200 is an apocalyptic number.

12964669200 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 12964669200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27783632448).

12964669200 is an abundant number, since it is smaller than the sum of its proper divisors (42602595696).

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

12964669200 is a wasteful number, since it uses less digits than its factorization.

12964669200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12964669200 in words is "twelve billion, nine hundred sixty-four million, six hundred sixty-nine thousand, two hundred".