211111222120 has 64 divisors (see below), whose sum is σ = 480551518800. Its totient is φ = 83460556800.

The previous prime is 211111222117. The next prime is 211111222123. The reversal of 211111222120 is 21222111112.

211111222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211111222117) and next prime (211111222123).

It can be written as a sum of positive squares in 8 ways, for example, as 84180059044 + 126931163076 = 290138^2 + 356274^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211111222094 and 211111222103.

It is not an unprimeable number, because it can be changed into a prime (211111222123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2252842 + ... + 2344678.

Almost surely, 2^211111222120 is an apocalyptic number.

211111222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211111222120 is an abundant number, since it is smaller than the sum of its proper divisors (269440296680).

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

211111222120 is a wasteful number, since it uses less digits than its factorization.

211111222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92518 (or 92514 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211111222120 its reverse (21222111112), we get a palindrome (232333333232).

The spelling of 211111222120 in words is "two hundred eleven billion, one hundred eleven million, two hundred twenty-two thousand, one hundred twenty".