12381360 has 80 divisors (see below), whose sum is σ = 40068864. Its totient is φ = 3156736.

The previous prime is 12381349. The next prime is 12381361. The reversal of 12381360 is 6318321.

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 12381360.

It is not an unprimeable number, because it can be changed into a prime (12381361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4399 + ... + 6641.

Almost surely, 2^12381360 is an apocalyptic number.

12381360 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 12381360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034432).

12381360 is an abundant number, since it is smaller than the sum of its proper divisors (27687504).

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

12381360 is a wasteful number, since it uses less digits than its factorization.

12381360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12381360 is about 3518.7156747882. The cubic root of 12381360 is about 231.3428689569.

Adding to 12381360 its reverse (6318321), we get a palindrome (18699681).

The spelling of 12381360 in words is "twelve million, three hundred eighty-one thousand, three hundred sixty".