12257344000 has 320 divisors, whose sum is σ = 34838698752. Its totient is φ = 4257792000.

The previous prime is 12257343997. The next prime is 12257344031. The reversal of 12257344000 is 44375221.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 12257344000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16191622 + ... + 16192378.

Almost surely, 2^12257344000 is an apocalyptic number.

12257344000 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 12257344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17419349376).

12257344000 is an abundant number, since it is smaller than the sum of its proper divisors (22581354752).

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

12257344000 is an equidigital number, since it uses as much as digits as its factorization.

12257344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 12257344000 in words is "twelve billion, two hundred fifty-seven million, three hundred forty-four thousand".