200200221121220 has 48 divisors (see below), whose sum is σ = 431882469874800. Its totient is φ = 77897844693504.

The previous prime is 200200221121151. The next prime is 200200221121223. The reversal of 200200221121220 is 22121122002002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7374559396996 + 192825661724224 = 2715614^2 + 13886168^2 .

It is not an unprimeable number, because it can be changed into a prime (200200221121223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27885539 + ... + 34322058.

It is an arithmetic number, because the mean of its divisors is an integer number (8997551455725).

Almost surely, 2^{200200221121220} is an apocalyptic number.

200200221121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200221121220 is an abundant number, since it is smaller than the sum of its proper divisors (231682248753580).

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

200200221121220 is a wasteful number, since it uses less digits than its factorization.

200200221121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62211992 (or 62211990 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 200200221121220 its reverse (22121122002002), we get a palindrome (222321343123222).

The spelling of 200200221121220 in words is "two hundred trillion, two hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".