211222112202200 has 768 divisors, whose sum is σ = 582071645030400. Its totient is φ = 70454292480000.

The previous prime is 211222112202187. The next prime is 211222112202239. The reversal of 211222112202200 is 2202211222112.

It is a super-2 number, since 2×211222112202200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145369656674 + ... + 145369658126.

It is an arithmetic number, because the mean of its divisors is an integer number (757905787800).

Almost surely, 2^{211222112202200} is an apocalyptic number.

211222112202200 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 211222112202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291035822515200).

211222112202200 is an abundant number, since it is smaller than the sum of its proper divisors (370849532828200).

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

211222112202200 is a wasteful number, since it uses less digits than its factorization.

211222112202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211222112202200 its reverse (2202211222112), we get a palindrome (213424323424312).

The spelling of 211222112202200 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred twelve million, two hundred two thousand, two hundred".