200121021201200 has 240 divisors, whose sum is σ = 529486924751232. Its totient is φ = 72681393312000.

The previous prime is 200121021201173. The next prime is 200121021201209. The reversal of 200121021201200 is 2102120121002.

It is a super-2 number, since 2×200121021201200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200121021201209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431544659 + ... + 432008141.

Almost surely, 2^{200121021201200} is an apocalyptic number.

200121021201200 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 200121021201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264743462375616).

200121021201200 is an abundant number, since it is smaller than the sum of its proper divisors (329365903550032).

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

200121021201200 is a wasteful number, since it uses less digits than its factorization.

200121021201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464345 (or 464312 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200121021201200 its reverse (2102120121002), we get a palindrome (202223141322202).

The spelling of 200121021201200 in words is "two hundred trillion, one hundred twenty-one billion, twenty-one million, two hundred one thousand, two hundred".