201220221200 has 120 divisors (see below), whose sum is σ = 513247504968. Its totient is φ = 75549450240.

The previous prime is 201220221197. The next prime is 201220221227. The reversal of 201220221200 is 2122022102.

It can be written as a sum of positive squares in 12 ways, for example, as 28407079936 + 172813141264 = 168544^2 + 415708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2496734 + ... + 2576066.

Almost surely, 2^201220221200 is an apocalyptic number.

201220221200 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 201220221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256623752484).

201220221200 is an abundant number, since it is smaller than the sum of its proper divisors (312027283768).

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

201220221200 is a wasteful number, since it uses less digits than its factorization.

201220221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79741 (or 79730 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201220221200 its reverse (2122022102), we get a palindrome (203342243302).

The spelling of 201220221200 in words is "two hundred one billion, two hundred twenty million, two hundred twenty-one thousand, two hundred".