12304000 has 64 divisors (see below), whose sum is σ = 30630600. Its totient is φ = 4915200.

The previous prime is 12303997. The next prime is 12304021. The reversal of 12304000 is 40321.

It can be written as a sum of positive squares in 4 ways, for example, as 3013696 + 9290304 = 1736^2 + 3048^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15616 + ... + 16384.

Almost surely, 2^12304000 is an apocalyptic number.

12304000 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 12304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315300).

12304000 is an abundant number, since it is smaller than the sum of its proper divisors (18326600).

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

12304000 is an frugal number, since it uses more digits than its factorization.

12304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 12304000 is about 3507.7058029430. The cubic root of 12304000 is about 230.8600440302.

Adding to 12304000 its reverse (40321), we get a palindrome (12344321).

The spelling of 12304000 in words is "twelve million, three hundred four thousand".