200133212202000 has 1920 divisors, whose sum is σ = 922492642406400. Its totient is φ = 39176358912000.

The previous prime is 200133212201953. The next prime is 200133212202043. The reversal of 200133212202000 is 202212331002.

200133212202000 is a `hidden beast` number, since 200 + 1 + 33 + 212 + 20 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4713764772 + ... + 4713807228.

It is an arithmetic number, because the mean of its divisors is an integer number (480464917920).

Almost surely, 2^{200133212202000} is an apocalyptic number.

200133212202000 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 200133212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461246321203200).

200133212202000 is an abundant number, since it is smaller than the sum of its proper divisors (722359430204400).

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

200133212202000 is a wasteful number, since it uses less digits than its factorization.

200133212202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42702 (or 42683 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200133212202000 its reverse (202212331002), we get a palindrome (200335424533002).

The spelling of 200133212202000 in words is "two hundred trillion, one hundred thirty-three billion, two hundred twelve million, two hundred two thousand".