12964322400 has 288 divisors, whose sum is σ = 46226103840. Its totient is φ = 3141304320.

The previous prime is 12964322377. The next prime is 12964322401. The reversal of 12964322400 is 422346921.

It is a super-2 number, since 2×12964322400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12964322401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1177722 + ... + 1188678.

It is an arithmetic number, because the mean of its divisors is an integer number (160507305).

Almost surely, 2^12964322400 is an apocalyptic number.

12964322400 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 12964322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23113051920).

12964322400 is an abundant number, since it is smaller than the sum of its proper divisors (33261781440).

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

12964322400 is a wasteful number, since it uses less digits than its factorization.

12964322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11026 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 12964322400 in words is "twelve billion, nine hundred sixty-four million, three hundred twenty-two thousand, four hundred".