200202121122000 has 640 divisors, whose sum is σ = 672517248998400. Its totient is φ = 51175627776000.

The previous prime is 200202121121993. The next prime is 200202121122019. The reversal of 200202121122000 is 221121202002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45593739805 + ... + 45593744195.

It is an arithmetic number, because the mean of its divisors is an integer number (1050808201560).

Almost surely, 2^{200202121122000} is an apocalyptic number.

200202121122000 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 200202121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336258624499200).

200202121122000 is an abundant number, since it is smaller than the sum of its proper divisors (472315127876400).

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

200202121122000 is a wasteful number, since it uses less digits than its factorization.

200202121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200202121122000 its reverse (221121202002), we get a palindrome (200423242324002).

The spelling of 200202121122000 in words is "two hundred trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand".