12082304 has 64 divisors (see below), whose sum is σ = 26603640. Its totient is φ = 5431296.

The previous prime is 12082247. The next prime is 12082307. The reversal of 12082304 is 40328021.

It can be written as a sum of positive squares in 4 ways, for example, as 9985600 + 2096704 = 3160^2 + 1448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12082307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88124 + ... + 88260.

Almost surely, 2^12082304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12082304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13301820).

12082304 is an abundant number, since it is smaller than the sum of its proper divisors (14521336).

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

12082304 is a wasteful number, since it uses less digits than its factorization.

12082304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 12082304 is about 3475.9608743483. The cubic root of 12082304 is about 229.4650706362.

The spelling of 12082304 in words is "twelve million, eighty-two thousand, three hundred four".