12004000 has 48 divisors (see below), whose sum is σ = 29503656. Its totient is φ = 4800000.

The previous prime is 12003997. The next prime is 12004033. The reversal of 12004000 is 40021.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 8271376 = 1932^2 + 2876^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2500 + ... + 5500.

Almost surely, 2^12004000 is an apocalyptic number.

12004000 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 12004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14751828).

12004000 is an abundant number, since it is smaller than the sum of its proper divisors (17499656).

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

12004000 is an equidigital number, since it uses as much as digits as its factorization.

12004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 12004000 is about 3464.6789173024. The cubic root of 12004000 is about 228.9682837790.

Adding to 12004000 its reverse (40021), we get a palindrome (12044021).

The spelling of 12004000 in words is "twelve million, four thousand".