200202022121200 has 240 divisors, whose sum is σ = 548473911065856. Its totient is φ = 69514780262400.

The previous prime is 200202022121183. The next prime is 200202022121239. The reversal of 200202022121200 is 2121220202002.

200202022121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200202022121200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56678119 + ... + 60106681.

Almost surely, 2^{200202022121200} is an apocalyptic number.

200202022121200 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 200202022121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274236955532928).

200202022121200 is an abundant number, since it is smaller than the sum of its proper divisors (348271888944656).

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

200202022121200 is a wasteful number, since it uses less digits than its factorization.

200202022121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429192 (or 3429181 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200202022121200 its reverse (2121220202002), we get a palindrome (202323242323202).

The spelling of 200202022121200 in words is "two hundred trillion, two hundred two billion, twenty-two million, one hundred twenty-one thousand, two hundred".