212221200 has 240 divisors, whose sum is σ = 733988736. Its totient is φ = 52224000.

The previous prime is 212221181. The next prime is 212221223. The reversal of 212221200 is 2122212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2060349 + ... + 2060451.

Almost surely, 2^212221200 is an apocalyptic number.

212221200 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 212221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366994368).

212221200 is an abundant number, since it is smaller than the sum of its proper divisors (521767536).

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

212221200 is a wasteful number, since it uses less digits than its factorization.

212221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212221200 is about 14567.8138373608. The cubic root of 212221200 is about 596.4805067560.

Adding to 212221200 its reverse (2122212), we get a palindrome (214343412).

Multiplying 212221200 by its reverse (2122212), we get a square (450378377294400 = 21222120²).

212221200 divided by its reverse (2122212) gives a square (100 = 10²).

It can be divided in two parts, 21222 and 1200, that added together give a palindrome (22422).

The spelling of 212221200 in words is "two hundred twelve million, two hundred twenty-one thousand, two hundred".