12284160 has 144 divisors (see below), whose sum is σ = 44935296. Its totient is φ = 2801664.

The previous prime is 12284137. The next prime is 12284171. The reversal of 12284160 is 6148221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 12284160.

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, 26652 + ... + 27108.

Almost surely, 2^12284160 is an apocalyptic number.

12284160 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 12284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22467648).

12284160 is an abundant number, since it is smaller than the sum of its proper divisors (32651136).

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

12284160 is an equidigital number, since it uses as much as digits as its factorization.

12284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12284160 is about 3504.8766026780. The cubic root of 12284160 is about 230.7358912520.

The spelling of 12284160 in words is "twelve million, two hundred eighty-four thousand, one hundred sixty".