12174656078400 has 168 divisors, whose sum is σ = 39945942281184. Its totient is φ = 3246337228800.

The previous prime is 12174656078309. The next prime is 12174656078437. The reversal of 12174656078400 is 487065647121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71160960 + ... + 71331840.

Almost surely, 2^{12174656078400} is an apocalyptic number.

12174656078400 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 12174656078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19972971140592).

12174656078400 is an abundant number, since it is smaller than the sum of its proper divisors (27771286202784).

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

12174656078400 is a wasteful number, since it uses less digits than its factorization.

12174656078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185749 (or 185734 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 12174656078400 in words is "twelve trillion, one hundred seventy-four billion, six hundred fifty-six million, seventy-eight thousand, four hundred".