211112212120 has 64 divisors (see below), whose sum is σ = 478594526400. Its totient is φ = 83807347200.

The previous prime is 211112212117. The next prime is 211112212183. The reversal of 211112212120 is 21212211112.

It is a super-2 number, since 2×211112212120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211112212094 and 211112212103.

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 15 ways as a sum of consecutive naturals, for example, 6682602 + ... + 6714118.

It is an arithmetic number, because the mean of its divisors is an integer number (7478039475).

Almost surely, 2^211112212120 is an apocalyptic number.

211112212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112212120 is an abundant number, since it is smaller than the sum of its proper divisors (267482314280).

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

211112212120 is a wasteful number, since it uses less digits than its factorization.

211112212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32788 (or 32784 counting only the distinct ones).

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

Adding to 211112212120 its reverse (21212211112), we get a palindrome (232324423232).

The spelling of 211112212120 in words is "two hundred eleven billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty".