221211200 has 84 divisors (see below), whose sum is σ = 622108992. Its totient is φ = 75840000.

The previous prime is 221211163. The next prime is 221211203. The reversal of 221211200 is 2112122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221211203) 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 11 ways as a sum of consecutive naturals, for example, 1325 + ... + 21075.

Almost surely, 2^221211200 is an apocalyptic number.

221211200 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 221211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311054496).

221211200 is an abundant number, since it is smaller than the sum of its proper divisors (400897792).

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

221211200 is a wasteful number, since it uses less digits than its factorization.

221211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19780 (or 19765 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 221211200 is about 14873.1704757257. The cubic root of 221211200 is about 604.7868930467.

Adding to 221211200 its reverse (2112122), we get a palindrome (223323322).

The spelling of 221211200 in words is "two hundred twenty-one million, two hundred eleven thousand, two hundred".