12914672400 has 1080 divisors, whose sum is σ = 57499782080. Its totient is φ = 2720977920.

The previous prime is 12914672311. The next prime is 12914672413. The reversal of 12914672400 is 427641921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 349045182 + ... + 349045218.

Almost surely, 2^12914672400 is an apocalyptic number.

12914672400 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 12914672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28749891040).

12914672400 is an abundant number, since it is smaller than the sum of its proper divisors (44585109680).

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

12914672400 is an equidigital number, since it uses as much as digits as its factorization.

12914672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12914672400 in words is "twelve billion, nine hundred fourteen million, six hundred seventy-two thousand, four hundred".