12306560 has 128 divisors (see below), whose sum is σ = 34957440. Its totient is φ = 4055040.

The previous prime is 12306551. The next prime is 12306563. The reversal of 12306560 is 6560321.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (12306563) 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, 183647 + ... + 183713.

It is an arithmetic number, because the mean of its divisors is an integer number (273105).

Almost surely, 2^12306560 is an apocalyptic number.

12306560 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 12306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17478720).

12306560 is an abundant number, since it is smaller than the sum of its proper divisors (22650880).

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

12306560 is an equidigital number, since it uses as much as digits as its factorization.

12306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 12306560 is about 3508.0706948407. The cubic root of 12306560 is about 230.8760540196.

Adding to 12306560 its reverse (6560321), we get a palindrome (18866881).

The spelling of 12306560 in words is "twelve million, three hundred six thousand, five hundred sixty".