200201221120 has 88 divisors (see below), whose sum is σ = 480402716904. Its totient is φ = 80054747136.

The previous prime is 200201221111. The next prime is 200201221141. The reversal of 200201221120 is 21122102002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54240546816 + 145960674304 = 232896^2 + 382048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 200201221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28939902 + ... + 28946818.

It is an arithmetic number, because the mean of its divisors is an integer number (5459121783).

Almost surely, 2^200201221120 is an apocalyptic number.

200201221120 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 200201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240201358452).

200201221120 is an abundant number, since it is smaller than the sum of its proper divisors (280201495784).

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

200201221120 is an equidigital number, since it uses as much as digits as its factorization.

200201221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12595 (or 12577 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200201221120 its reverse (21122102002), we get a palindrome (221323323122).

The spelling of 200201221120 in words is "two hundred billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".