12747234124800 has 4752 divisors, whose sum is σ = 60669196922880. Its totient is φ = 2633637888000.

The previous prime is 12747234124787. The next prime is 12747234124811. The reversal of 12747234124800 is 842143274721.

12747234124800 is a `hidden beast` number, since 1 + 2 + 74 + 72 + 34 + 1 + 2 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 179538508765 + ... + 179538508835.

Almost surely, 2^{12747234124800} is an apocalyptic number.

12747234124800 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 12747234124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30334598461440).

12747234124800 is an abundant number, since it is smaller than the sum of its proper divisors (47921962798080).

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

12747234124800 is a wasteful number, since it uses less digits than its factorization.

12747234124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 12747234124800 in words is "twelve trillion, seven hundred forty-seven billion, two hundred thirty-four million, one hundred twenty-four thousand, eight hundred".