12744107222400 has 192 divisors, whose sum is σ = 46639892720400. Its totient is φ = 3398428569600.

The previous prime is 12744107222291. The next prime is 12744107222401. The reversal of 12744107222400 is 422270144721.

12744107222400 is a `hidden beast` number, since 1 + 27 + 4 + 4 + 1 + 0 + 7 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12744107222401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73664221 + ... + 73837020.

Almost surely, 2^{12744107222400} is an apocalyptic number.

12744107222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12744107222400 is an abundant number, since it is smaller than the sum of its proper divisors (33895785498000).

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

12744107222400 is a wasteful number, since it uses less digits than its factorization.

12744107222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147501274 (or 147501251 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 12744107222400 in words is "twelve trillion, seven hundred forty-four billion, one hundred seven million, two hundred twenty-two thousand, four hundred".