211122210222200 has 96 divisors (see below), whose sum is σ = 512307981619200. Its totient is φ = 80760296664960.

The previous prime is 211122210222149. The next prime is 211122210222227. The reversal of 211122210222200 is 2222012221112.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17203961 + ... + 26799639.

It is an arithmetic number, because the mean of its divisors is an integer number (5336541475200).

Almost surely, 2^{211122210222200} is an apocalyptic number.

211122210222200 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 211122210222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256153990809600).

211122210222200 is an abundant number, since it is smaller than the sum of its proper divisors (301185771397000).

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

211122210222200 is a wasteful number, since it uses less digits than its factorization.

211122210222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9600501 (or 9600492 counting only the distinct ones).

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

Adding to 211122210222200 its reverse (2222012221112), we get a palindrome (213344222443312).

The spelling of 211122210222200 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty-two thousand, two hundred".