12257712 has 60 divisors (see below), whose sum is σ = 35805744. Its totient is φ = 3907200.

The previous prime is 12257711. The next prime is 12257737. The reversal of 12257712 is 21775221.

12257712 = 719² + 720² + ... + 741².

It is not an unprimeable number, because it can be changed into a prime (12257711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1462 + ... + 5162.

Almost surely, 2^12257712 is an apocalyptic number.

12257712 is a gapful number since it is divisible by the number (12) 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 12257712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902872).

12257712 is an abundant number, since it is smaller than the sum of its proper divisors (23548032).

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

12257712 is a wasteful number, since it uses less digits than its factorization.

12257712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3729 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 12257712 is about 3501.1015409439. The cubic root of 12257712 is about 230.5701795361.

It can be divided in two parts, 1225771 and 2, that multiplied together give a palindrome (2451542).

The spelling of 12257712 in words is "twelve million, two hundred fifty-seven thousand, seven hundred twelve".