212221011200 has 216 divisors, whose sum is σ = 574923369216. Its totient is φ = 76916736000.

The previous prime is 212221011173. The next prime is 212221011209. The reversal of 212221011200 is 2110122212.

212221011200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221011209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22030385 + ... + 22040015.

Almost surely, 2^212221011200 is an apocalyptic number.

212221011200 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 212221011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287461684608).

212221011200 is an abundant number, since it is smaller than the sum of its proper divisors (362702358016).

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

212221011200 is a wasteful number, since it uses less digits than its factorization.

212221011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9981 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212221011200 its reverse (2110122212), we get a palindrome (214331133412).

The spelling of 212221011200 in words is "two hundred twelve billion, two hundred twenty-one million, eleven thousand, two hundred".