12257745360 has 320 divisors, whose sum is σ = 44425347072. Its totient is φ = 2738147328.

The previous prime is 12257745347. The next prime is 12257745431. The reversal of 12257745360 is 6354775221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15574887 + ... + 15575673.

Almost surely, 2^12257745360 is an apocalyptic number.

12257745360 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 12257745360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22212673536).

12257745360 is an abundant number, since it is smaller than the sum of its proper divisors (32167601712).

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

12257745360 is a wasteful number, since it uses less digits than its factorization.

12257745360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 12257745360 in words is "twelve billion, two hundred fifty-seven million, seven hundred forty-five thousand, three hundred sixty".