12721827264 has 112 divisors (see below), whose sum is σ = 36255838080. Its totient is φ = 3923942400.

The previous prime is 12721827263. The next prime is 12721827289. The reversal of 12721827264 is 46272812721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12721827263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116314 + ... + 197414.

It is an arithmetic number, because the mean of its divisors is an integer number (323712840).

Almost surely, 2^12721827264 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 12721827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127919040).

12721827264 is an abundant number, since it is smaller than the sum of its proper divisors (23534010816).

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

12721827264 is a wasteful number, since it uses less digits than its factorization.

12721827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81178 (or 81168 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The spelling of 12721827264 in words is "twelve billion, seven hundred twenty-one million, eight hundred twenty-seven thousand, two hundred sixty-four".