12238524288 has 144 divisors (see below), whose sum is σ = 35525608560. Its totient is φ = 4044119040.

The previous prime is 12238524271. The next prime is 12238524289. The reversal of 12238524288 is 88242583221.

12238524288 is a `hidden beast` number, since 1 + 22 + 385 + 242 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12238524289) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28395433 + ... + 28395863.

It is an arithmetic number, because the mean of its divisors is an integer number (246705615).

Almost surely, 2^12238524288 is an apocalyptic number.

12238524288 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 12238524288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17762804280).

12238524288 is an abundant number, since it is smaller than the sum of its proper divisors (23287084272).

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

12238524288 is an equidigital number, since it uses as much as digits as its factorization.

12238524288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 593 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The spelling of 12238524288 in words is "twelve billion, two hundred thirty-eight million, five hundred twenty-four thousand, two hundred eighty-eight".