12360 has 32 divisors (see below), whose sum is σ = 37440. Its totient is φ = 3264.

The previous prime is 12347. The next prime is 12373. The reversal of 12360 is 6321.

12360 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (12347) and next prime (12373).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

12360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (1170).

2¹²³⁶⁰ is an apocalyptic number.

12360 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 12360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720).

12360 is an abundant number, since it is smaller than the sum of its proper divisors (25080).

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

12360 is a wasteful number, since it uses less digits than its factorization.

12360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12360 is about 111.1755368775. The cubic root of 12360 is about 23.1209756815.

Adding to 12360 its reverse (6321), we get a palindrome (18681).

The spelling of 12360 in words is "twelve thousand, three hundred sixty".