12427674644320 has 192 divisors, whose sum is σ = 33584447546496. Its totient is φ = 4305129799680.

The previous prime is 12427674644309. The next prime is 12427674644327. The reversal of 12427674644320 is 2344647672421.

12427674644320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12427674644327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10654765 + ... + 11763475.

It is an arithmetic number, because the mean of its divisors is an integer number (174918997638).

Almost surely, 2^{12427674644320} is an apocalyptic number.

12427674644320 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 12427674644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16792223773248).

12427674644320 is an abundant number, since it is smaller than the sum of its proper divisors (21156772902176).

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

12427674644320 is a wasteful number, since it uses less digits than its factorization.

12427674644320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109073 (or 1109065 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 52.

The spelling of 12427674644320 in words is "twelve trillion, four hundred twenty-seven billion, six hundred seventy-four million, six hundred forty-four thousand, three hundred twenty".