210220221200 has 180 divisors, whose sum is σ = 570150786660. Its totient is φ = 74377036800.

The previous prime is 210220221187. The next prime is 210220221209. The reversal of 210220221200 is 2122022012.

It can be written as a sum of positive squares in 6 ways, for example, as 1667252224 + 208552968976 = 40832^2 + 456676^2 .

It is not an unprimeable number, because it can be changed into a prime (210220221209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1732106 + ... + 1849494.

Almost surely, 2^210220221200 is an apocalyptic number.

210220221200 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 210220221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285075393330).

210220221200 is an abundant number, since it is smaller than the sum of its proper divisors (359930565460).

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

210220221200 is a wasteful number, since it uses less digits than its factorization.

210220221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117466 (or 117444 counting only the distinct ones).

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

Adding to 210220221200 its reverse (2122022012), we get a palindrome (212342243212).

The spelling of 210220221200 in words is "two hundred ten billion, two hundred twenty million, two hundred twenty-one thousand, two hundred".