12252767520 has 288 divisors, whose sum is σ = 45031484736. Its totient is φ = 2792294400.

The previous prime is 12252767503. The next prime is 12252767521. The reversal of 12252767520 is 2576725221.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12252767521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11547790 + ... + 11548850.

It is an arithmetic number, because the mean of its divisors is an integer number (156359322).

Almost surely, 2^12252767520 is an apocalyptic number.

12252767520 is a gapful number since it is divisible by the number (10) 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 12252767520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22515742368).

12252767520 is an abundant number, since it is smaller than the sum of its proper divisors (32778717216).

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

12252767520 is a wasteful number, since it uses less digits than its factorization.

12252767520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 12252767520 in words is "twelve billion, two hundred fifty-two million, seven hundred sixty-seven thousand, five hundred twenty".