12005304 has 64 divisors (see below), whose sum is σ = 31795200. Its totient is φ = 3771264.

The previous prime is 12005303. The next prime is 12005309. The reversal of 12005304 is 40350021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32529 + ... + 32895.

It is an arithmetic number, because the mean of its divisors is an integer number (496800).

Almost surely, 2^12005304 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 12005304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897600).

12005304 is an abundant number, since it is smaller than the sum of its proper divisors (19789896).

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

12005304 is a wasteful number, since it uses less digits than its factorization.

12005304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 12005304 is about 3464.8670970183. The cubic root of 12005304 is about 228.9765744552.

Adding to 12005304 its reverse (40350021), we get a palindrome (52355325).

The spelling of 12005304 in words is "twelve million, five thousand, three hundred four".