12257568 has 60 divisors (see below), whose sum is σ = 36056790. Its totient is φ = 4084992.

The previous prime is 12257563. The next prime is 12257573. The reversal of 12257568 is 86575221.

It is a happy number.

12257568 is a `hidden beast` number, since 1 + 22 + 575 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (12257563) and next prime (12257573).

It can be written as a sum of positive squares in only one way, i.e., 12194064 + 63504 = 3492^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12257563) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 228 + ... + 4956.

Almost surely, 2^12257568 is an apocalyptic number.

12257568 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 12257568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18028395).

12257568 is an abundant number, since it is smaller than the sum of its proper divisors (23799222).

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

12257568 is an equidigital number, since it uses as much as digits as its factorization.

12257568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 4734 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 12257568 is about 3501.0809759273. The cubic root of 12257568 is about 230.5692766424.

The spelling of 12257568 in words is "twelve million, two hundred fifty-seven thousand, five hundred sixty-eight".