12936294400 has 312 divisors, whose sum is σ = 34634824400. Its totient is φ = 4777574400.

The previous prime is 12936294383. The next prime is 12936294401. The reversal of 12936294400 is 449263921.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12936294401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118681546 + ... + 118681654.

Almost surely, 2^12936294400 is an apocalyptic number.

12936294400 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 12936294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17317412200).

12936294400 is an abundant number, since it is smaller than the sum of its proper divisors (21698530000).

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

12936294400 is a wasteful number, since it uses less digits than its factorization.

12936294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 12936294400 in words is "twelve billion, nine hundred thirty-six million, two hundred ninety-four thousand, four hundred".