200133323121000 has 256 divisors, whose sum is σ = 646187481688320. Its totient is φ = 51530094720000.

The previous prime is 200133323120947. The next prime is 200133323121019. The reversal of 200133323121000 is 121323331002.

200133323121000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 7659310 + ... + 21422690.

It is an arithmetic number, because the mean of its divisors is an integer number (2524169850345).

Almost surely, 2^{200133323121000} is an apocalyptic number.

200133323121000 is a gapful number since it is divisible by the number (20) 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 200133323121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323093740844160).

200133323121000 is an abundant number, since it is smaller than the sum of its proper divisors (446054158567320).

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

200133323121000 is a wasteful number, since it uses less digits than its factorization.

200133323121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13763573 (or 13763559 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 200133323121000 its reverse (121323331002), we get a palindrome (200254646452002).

The spelling of 200133323121000 in words is "two hundred trillion, one hundred thirty-three billion, three hundred twenty-three million, one hundred twenty-one thousand".