12282360 has 64 divisors (see below), whose sum is σ = 38793600. Its totient is φ = 3102336.

The previous prime is 12282353. The next prime is 12282371. The reversal of 12282360 is 6328221.

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 12282360.

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, 414 + ... + 4973.

It is an arithmetic number, because the mean of its divisors is an integer number (606150).

Almost surely, 2^12282360 is an apocalyptic number.

12282360 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 12282360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19396800).

12282360 is an abundant number, since it is smaller than the sum of its proper divisors (26511240).

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

12282360 is a wasteful number, since it uses less digits than its factorization.

12282360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12282360 is about 3504.6198081960. The cubic root of 12282360 is about 230.7246207787.

The spelling of 12282360 in words is "twelve million, two hundred eighty-two thousand, three hundred sixty".