12507621018816 has 448 divisors, whose sum is σ = 41534962375680. Its totient is φ = 3227031306240.

The previous prime is 12507621018811. The next prime is 12507621018821. The reversal of 12507621018816 is 61881012670521.

It is an interprime number because it is at equal distance from previous prime (12507621018811) and next prime (12507621018821).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12507621018811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5445197380 + ... + 5445199676.

Almost surely, 2^{12507621018816} is an apocalyptic number.

12507621018816 is a gapful number since it is divisible by the number (16) 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 12507621018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20767481187840).

12507621018816 is an abundant number, since it is smaller than the sum of its proper divisors (29027341356864).

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

12507621018816 is a wasteful number, since it uses less digits than its factorization.

12507621018816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 12507621018816 in words is "twelve trillion, five hundred seven billion, six hundred twenty-one million, eighteen thousand, eight hundred sixteen".