12711264506424 has 256 divisors, whose sum is σ = 38912037120000. Its totient is φ = 3812616000000.

The previous prime is 12711264506419. The next prime is 12711264506443. The reversal of 12711264506424 is 42460546211721.

12711264506424 is a `hidden beast` number, since 1 + 2 + 7 + 112 + 6 + 4 + 506 + 4 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12711264506424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1140120402 + ... + 1140131550.

It is an arithmetic number, because the mean of its divisors is an integer number (152000145000).

Almost surely, 2^{12711264506424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12711264506424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19456018560000).

12711264506424 is an abundant number, since it is smaller than the sum of its proper divisors (26200772613576).

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

12711264506424 is a wasteful number, since it uses less digits than its factorization.

12711264506424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16027 (or 16017 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 12711264506424 in words is "twelve trillion, seven hundred eleven billion, two hundred sixty-four million, five hundred six thousand, four hundred twenty-four".