12287288627824 has 80 divisors (see below), whose sum is σ = 28182750563520. Its totient is φ = 5077713070080.

The previous prime is 12287288627819. The next prime is 12287288627863. The reversal of 12287288627824 is 42872688278221.

It is a self number, because there is not a number n which added to its sum of digits gives 12287288627824.

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 15 ways as a sum of consecutive naturals, for example, 13839 + ... + 4957294.

It is an arithmetic number, because the mean of its divisors is an integer number (352284382044).

Almost surely, 2^{12287288627824} is an apocalyptic number.

12287288627824 is a gapful number since it is divisible by the number (14) 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 12287288627824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14091375281760).

12287288627824 is an abundant number, since it is smaller than the sum of its proper divisors (15895461935696).

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

12287288627824 is a wasteful number, since it uses less digits than its factorization.

12287288627824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971938 (or 4971932 counting only the distinct ones).

The product of its digits is 154140672, while the sum is 67.

The spelling of 12287288627824 in words is "twelve trillion, two hundred eighty-seven billion, two hundred eighty-eight million, six hundred twenty-seven thousand, eight hundred twenty-four".