12442560 has 112 divisors (see below), whose sum is σ = 42586656. Its totient is φ = 3059712.

The previous prime is 12442553. The next prime is 12442561. The reversal of 12442560 is 6524421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12442560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11982 + ... + 12978.

It is an arithmetic number, because the mean of its divisors is an integer number (380238).

Almost surely, 2^12442560 is an apocalyptic number.

12442560 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 12442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21293328).

12442560 is an abundant number, since it is smaller than the sum of its proper divisors (30144096).

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

12442560 is a wasteful number, since it uses less digits than its factorization.

12442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 12442560 is about 3527.4013097463. The cubic root of 12442560 is about 231.7234119631.

Adding to 12442560 its reverse (6524421), we get a palindrome (18966981).

The spelling of 12442560 in words is "twelve million, four hundred forty-two thousand, five hundred sixty".