12004001283200 has 48 divisors (see below), whose sum is σ = 29653634427810. Its totient is φ = 4801600512000.

The previous prime is 12004001283193. The next prime is 12004001283217. The reversal of 12004001283200 is 238210040021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11436895895104 + 567105388096 = 3381848^2 + 753064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1875622001 + ... + 1875628400.

Almost surely, 2^{12004001283200} is an apocalyptic number.

12004001283200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12004001283200 is an abundant number, since it is smaller than the sum of its proper divisors (17649633144610).

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

12004001283200 is an equidigital number, since it uses as much as digits as its factorization.

12004001283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751250425 (or 3751250408 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The spelling of 12004001283200 in words is "twelve trillion, four billion, one million, two hundred eighty-three thousand, two hundred".