200201221201200 has 240 divisors, whose sum is σ = 679059110533536. Its totient is φ = 50244829184000.

The previous prime is 200201221201187. The next prime is 200201221201243. The reversal of 200201221201200 is 2102122102002.

200201221201200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 200201221201200.

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, 644505124 + ... + 644815676.

Almost surely, 2^{200201221201200} is an apocalyptic number.

200201221201200 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 200201221201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339529555266768).

200201221201200 is an abundant number, since it is smaller than the sum of its proper divisors (478857889332336).

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

200201221201200 is a wasteful number, since it uses less digits than its factorization.

200201221201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342192 (or 342181 counting only the distinct ones).

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

Adding to 200201221201200 its reverse (2102122102002), we get a palindrome (202303343303202).

The spelling of 200201221201200 in words is "two hundred trillion, two hundred one billion, two hundred twenty-one million, two hundred one thousand, two hundred".