12565120 has 64 divisors (see below), whose sum is σ = 31120200. Its totient is φ = 4845568.

The previous prime is 12565097. The next prime is 12565123. The reversal of 12565120 is 2156521.

It can be written as a sum of positive squares in 4 ways, for example, as 12446784 + 118336 = 3528^2 + 344^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12565120² = 315764481228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12565091 and 12565100.

It is not an unprimeable number, because it can be changed into a prime (12565123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18222 + ... + 18898.

Almost surely, 2^12565120 is an apocalyptic number.

12565120 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 12565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15560100).

12565120 is an abundant number, since it is smaller than the sum of its proper divisors (18555080).

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

12565120 is an equidigital number, since it uses as much as digits as its factorization.

12565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 12565120 is about 3544.7313015234. The cubic root of 12565120 is about 232.4817575389.

The spelling of 12565120 in words is "twelve million, five hundred sixty-five thousand, one hundred twenty".