12352560 has 80 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 2993920.

The previous prime is 12352559. The next prime is 12352583. The reversal of 12352560 is 6525321.

12352560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 12352560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301 + ... + 4979.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 2^12352560 is an apocalyptic number.

12352560 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 12352560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

12352560 is an abundant number, since it is smaller than the sum of its proper divisors (29430480).

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

12352560 is a wasteful number, since it uses less digits than its factorization.

12352560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 12352560 is about 3514.6208899396. The cubic root of 12352560 is about 231.1633559018.

Adding to 12352560 its reverse (6525321), we get a palindrome (18877881).

The spelling of 12352560 in words is "twelve million, three hundred fifty-two thousand, five hundred sixty".