12361560 has 64 divisors (see below), whose sum is σ = 38292480. Its totient is φ = 3189120.

The previous prime is 12361549. The next prime is 12361577. The reversal of 12361560 is 6516321.

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 12361560.

It is a congruent number.

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, 2059 + ... + 5381.

It is an arithmetic number, because the mean of its divisors is an integer number (598320).

Almost surely, 2^12361560 is an apocalyptic number.

12361560 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 12361560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19146240).

12361560 is an abundant number, since it is smaller than the sum of its proper divisors (25930920).

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

12361560 is a wasteful number, since it uses less digits than its factorization.

12361560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 12361560 is about 3515.9010224976. The cubic root of 12361560 is about 231.2194836771.

Adding to 12361560 its reverse (6516321), we get a palindrome (18877881).

It can be divided in two parts, 12361 and 560, that added together give a palindrome (12921).

The spelling of 12361560 in words is "twelve million, three hundred sixty-one thousand, five hundred sixty".