12264265728 has 720 divisors, whose sum is σ = 44285361120. Its totient is φ = 3357573120.

The previous prime is 12264265721. The next prime is 12264265751. The reversal of 12264265728 is 82756246221.

12264265728 is a `hidden beast` number, since 12 + 2 + 64 + 2 + 6 + 572 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12264265721) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 260941801 + ... + 260941847.

It is an arithmetic number, because the mean of its divisors is an integer number (61507446).

Almost surely, 2^12264265728 is an apocalyptic number.

12264265728 is a gapful number since it is divisible by the number (18) 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 12264265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22142680560).

12264265728 is an abundant number, since it is smaller than the sum of its proper divisors (32021095392).

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

12264265728 is a wasteful number, since it uses less digits than its factorization.

12264265728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

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

The spelling of 12264265728 in words is "twelve billion, two hundred sixty-four million, two hundred sixty-five thousand, seven hundred twenty-eight".