12004413333000 has 256 divisors, whose sum is σ = 41170570721280. Its totient is φ = 2887944800000.

The previous prime is 12004413332983. The next prime is 12004413333043. The reversal of 12004413333000 is 33331440021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2934565 + ... + 5711435.

It is an arithmetic number, because the mean of its divisors is an integer number (160822541880).

Almost surely, 2^{12004413333000} is an apocalyptic number.

12004413333000 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 12004413333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20585285360640).

12004413333000 is an abundant number, since it is smaller than the sum of its proper divisors (29166157388280).

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

12004413333000 is a wasteful number, since it uses less digits than its factorization.

12004413333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777037 (or 2777023 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12004413333000 its reverse (33331440021), we get a palindrome (12037744773021).

The spelling of 12004413333000 in words is "twelve trillion, four billion, four hundred thirteen million, three hundred thirty-three thousand".