211221211222200 has 192 divisors, whose sum is σ = 689273309577600. Its totient is φ = 53359201267200.

The previous prime is 211221211222141. The next prime is 211221211222207. The reversal of 211221211222200 is 2222112122112.

It is a super-2 number, since 2×211221211222200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221211222207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325955719 + ... + 326603081.

It is an arithmetic number, because the mean of its divisors is an integer number (3589965154050).

Almost surely, 2^{211221211222200} is an apocalyptic number.

211221211222200 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 211221211222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344636654788800).

211221211222200 is an abundant number, since it is smaller than the sum of its proper divisors (478052098355400).

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

211221211222200 is a wasteful number, since it uses less digits than its factorization.

211221211222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676022 (or 676013 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211221211222200 its reverse (2222112122112), we get a palindrome (213443323344312).

The spelling of 211221211222200 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty-two thousand, two hundred".