200201221121200 has 120 divisors (see below), whose sum is σ = 545244378602000. Its totient is φ = 70029900794880.

The previous prime is 200201221121197. The next prime is 200201221121201. The reversal of 200201221121200 is 2121122102002.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (200201221121201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1013065275 + ... + 1013262874.

Almost surely, 2^{200201221121200} is an apocalyptic number.

200201221121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201221121200 is an abundant number, since it is smaller than the sum of its proper divisors (345043157480800).

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

200201221121200 is a wasteful number, since it uses less digits than its factorization.

200201221121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026328199 (or 2026328188 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200201221121200 its reverse (2121122102002), we get a palindrome (202322343223202).

The spelling of 200201221121200 in words is "two hundred trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred".