12257560 has 32 divisors (see below), whose sum is σ = 31520160. Its totient is φ = 4202496.

The previous prime is 12257549. The next prime is 12257563. The reversal of 12257560 is 6575221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21609 + ... + 22168.

It is an arithmetic number, because the mean of its divisors is an integer number (985005).

Almost surely, 2^12257560 is an apocalyptic number.

12257560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12257560 is an abundant number, since it is smaller than the sum of its proper divisors (19262600).

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

12257560 is a wasteful number, since it uses less digits than its factorization.

12257560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43795 (or 43791 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 12257560 is about 3501.0798334228. The cubic root of 12257560 is about 230.5692264814.

It can be divided in two parts, 1225 and 7560, that multiplied together give a cube (9261000 = 210³).

The spelling of 12257560 in words is "twelve million, two hundred fifty-seven thousand, five hundred sixty".