211222000220020 has 48 divisors (see below), whose sum is σ = 448054362478800. Its totient is φ = 83635362293760.

The previous prime is 211222000219991. The next prime is 211222000220029. The reversal of 211222000220020 is 20022000222112.

It can be written as a sum of positive squares in 8 ways, for example, as 22403731294564 + 188818268925456 = 4733258^2 + 13741116^2 .

It is a super-2 number, since 2×211222000220020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211222000219976 and 211222000220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222000220029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42988021 + ... + 47648860.

It is an arithmetic number, because the mean of its divisors is an integer number (9334465884975).

Almost surely, 2^{211222000220020} is an apocalyptic number.

211222000220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222000220020 is an abundant number, since it is smaller than the sum of its proper divisors (236832362258780).

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

211222000220020 is a wasteful number, since it uses less digits than its factorization.

211222000220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90638068 (or 90638066 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 211222000220020 its reverse (20022000222112), we get a palindrome (231244000442132).

The spelling of 211222000220020 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty thousand, twenty".