12033101000200 has 288 divisors, whose sum is σ = 34476889766400. Its totient is φ = 3880936335360.

The previous prime is 12033101000161. The next prime is 12033101000273. The reversal of 12033101000200 is 200010133021.

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 71 ways as a sum of consecutive naturals, for example, 339679689 + ... + 339715111.

It is an arithmetic number, because the mean of its divisors is an integer number (119711422800).

Almost surely, 2^{12033101000200} is an apocalyptic number.

12033101000200 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 12033101000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17238444883200).

12033101000200 is an abundant number, since it is smaller than the sum of its proper divisors (22443788766200).

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

12033101000200 is a wasteful number, since it uses less digits than its factorization.

12033101000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37509 (or 37493 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12033101000200 its reverse (200010133021), we get a palindrome (12233111133221).

The spelling of 12033101000200 in words is "twelve trillion, thirty-three billion, one hundred one million, two hundred", and thus it is an aban number.