211122222120 has 64 divisors (see below), whose sum is σ = 703740744000. Its totient is φ = 56299258944.

The previous prime is 211122222071. The next prime is 211122222133. The reversal of 211122222120 is 21222221112.

It is a happy number.

211122222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211122222093 and 211122222102.

It is an unprimeable number.

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, 97740690 + ... + 97742849.

It is an arithmetic number, because the mean of its divisors is an integer number (10995949125).

Almost surely, 2^211122222120 is an apocalyptic number.

211122222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122222120 is an abundant number, since it is smaller than the sum of its proper divisors (492618521880).

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

211122222120 is a wasteful number, since it uses less digits than its factorization.

211122222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195483559 (or 195483549 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211122222120 its reverse (21222221112), we get a palindrome (232344443232).

The spelling of 211122222120 in words is "two hundred eleven billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".