12560 has 20 divisors (see below), whose sum is σ = 29388. Its totient is φ = 4992.

The previous prime is 12553. The next prime is 12569. The reversal of 12560 is 6521.

12560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4096 + 8464 = 64^2 + 92^2 .

It is a tau number, because it is divible by the number of its divisors (20).

12560 is strictly pandigital in base 6.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 158.

2¹²⁵⁶⁰ is an apocalyptic number.

12560 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 12560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694).

12560 is an abundant number, since it is smaller than the sum of its proper divisors (16828).

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

12560 is a wasteful number, since it uses less digits than its factorization.

12560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 12560 is about 112.0714058090. The cubic root of 12560 is about 23.2450176243.

The spelling of 12560 in words is "twelve thousand, five hundred sixty".