12812546326528 has 120 divisors (see below), whose sum is σ = 27602548042608. Its totient is φ = 5911953801216.

The previous prime is 12812546326513. The next prime is 12812546326553. The reversal of 12812546326528 is 82562364521821.

It is a happy number.

It is a super-2 number, since 2×12812546326528² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1532047275 + ... + 1532055637.

Almost surely, 2^{12812546326528} 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 12812546326528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801274021304).

12812546326528 is an abundant number, since it is smaller than the sum of its proper divisors (14790001716080).

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

12812546326528 is an frugal number, since it uses more digits than its factorization.

12812546326528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15597 (or 15571 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 55.

The spelling of 12812546326528 in words is "twelve trillion, eight hundred twelve billion, five hundred forty-six million, three hundred twenty-six thousand, five hundred twenty-eight".