12285216 has 96 divisors (see below), whose sum is σ = 36590400. Its totient is φ = 4008960.

The previous prime is 12285193. The next prime is 12285239. The reversal of 12285216 is 61258221.

It is a happy number.

12285216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12285193) and next prime (12285239).

It is a tau number, because it is divible by the number of its divisors (96).

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

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 12285216.

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, 50856 + ... + 51096.

It is an arithmetic number, because the mean of its divisors is an integer number (381150).

Almost surely, 2^12285216 is an apocalyptic number.

12285216 is a gapful number since it is divisible by the number (16) 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 12285216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

12285216 is an abundant number, since it is smaller than the sum of its proper divisors (24305184).

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

12285216 is a wasteful number, since it uses less digits than its factorization.

12285216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 12285216 is about 3505.0272466844. The cubic root of 12285216 is about 230.7425027506.

The spelling of 12285216 in words is "twelve million, two hundred eighty-five thousand, two hundred sixteen".