12731121345600 has 840 divisors, whose sum is σ = 53972675676480. Its totient is φ = 2883251220480.

The previous prime is 12731121345587. The next prime is 12731121345601. The reversal of 12731121345600 is 654312113721.

12731121345600 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 1 + 1 + 2 + 1 + 3 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is not an unprimeable number, because it can be changed into a prime (12731121345601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 98820427 + ... + 98949173.

Almost surely, 2^{12731121345600} is an apocalyptic number.

12731121345600 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 12731121345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26986337838240).

12731121345600 is an abundant number, since it is smaller than the sum of its proper divisors (41241554330880).

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

12731121345600 is a wasteful number, since it uses less digits than its factorization.

12731121345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128897 (or 128873 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12731121345600 in words is "twelve trillion, seven hundred thirty-one billion, one hundred twenty-one million, three hundred forty-five thousand, six hundred".