12276360 has 112 divisors (see below), whose sum is σ = 41512140. Its totient is φ = 3265920.

The previous prime is 12276359. The next prime is 12276361. The reversal of 12276360 is 6367221.

It is a happy number.

12276360 is a `hidden beast` number, since 1 + 2 + 27 + 636 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12276359) and next prime (12276361).

It can be written as a sum of positive squares in 2 ways, for example, as 10150596 + 2125764 = 3186^2 + 1458^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12276361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28950 + ... + 29370.

Almost surely, 2^12276360 is an apocalyptic number.

12276360 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 12276360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756070).

12276360 is an abundant number, since it is smaller than the sum of its proper divisors (29235780).

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

12276360 is an equidigital number, since it uses as much as digits as its factorization.

12276360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 12276360 is about 3503.7636906618. The cubic root of 12276360 is about 230.6870445798.

The spelling of 12276360 in words is "twelve million, two hundred seventy-six thousand, three hundred sixty".