211222221220200 has 288 divisors, whose sum is σ = 666211527367200. Its totient is φ = 55359909265920.

The previous prime is 211222221220193. The next prime is 211222221220201. The reversal of 211222221220200 is 2022122222112.

It is a super-2 number, since 2×211222221220200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222221220201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16464427386 + ... + 16464440214.

It is an arithmetic number, because the mean of its divisors is an integer number (2313234470025).

Almost surely, 2^{211222221220200} is an apocalyptic number.

211222221220200 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 211222221220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333105763683600).

211222221220200 is an abundant number, since it is smaller than the sum of its proper divisors (454989306147000).

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

211222221220200 is a wasteful number, since it uses less digits than its factorization.

211222221220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20849 (or 20781 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 211222221220200 its reverse (2022122222112), we get a palindrome (213244343442312).

The spelling of 211222221220200 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred twenty thousand, two hundred".