12391142400 has 1056 divisors, whose sum is σ = 56288897280. Its totient is φ = 2601123840.

The previous prime is 12391142399. The next prime is 12391142411. The reversal of 12391142400 is 424119321.

It is a happy number.

12391142400 is a `hidden beast` number, since 1 + 239 + 1 + 1 + 424 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62899102 + ... + 62899298.

It is an arithmetic number, because the mean of its divisors is an integer number (53303880).

Almost surely, 2^12391142400 is an apocalyptic number.

12391142400 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 12391142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28144448640).

12391142400 is an abundant number, since it is smaller than the sum of its proper divisors (43897754880).

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

12391142400 is a wasteful number, since it uses less digits than its factorization.

12391142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12391142400 in words is "twelve billion, three hundred ninety-one million, one hundred forty-two thousand, four hundred".