12000330233000 has 256 divisors, whose sum is σ = 28631356416000. Its totient is φ = 4707188640000.

The previous prime is 12000330232903. The next prime is 12000330233029. The reversal of 12000330233000 is 33203300021.

12000330233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12000330233000.

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, 4492821665 + ... + 4492824335.

It is an arithmetic number, because the mean of its divisors is an integer number (111841236000).

Almost surely, 2^{12000330233000} is an apocalyptic number.

12000330233000 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 12000330233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315678208000).

12000330233000 is an abundant number, since it is smaller than the sum of its proper divisors (16631026183000).

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

12000330233000 is a wasteful number, since it uses less digits than its factorization.

12000330233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 12000330233000 its reverse (33203300021), we get a palindrome (12033533533021).

The spelling of 12000330233000 in words is "twelve trillion, three hundred thirty million, two hundred thirty-three thousand".