211222112120 has 128 divisors (see below), whose sum is σ = 493399296000. Its totient is φ = 81295280640.

The previous prime is 211222112083. The next prime is 211222112137. The reversal of 211222112120 is 21211222112.

It is a super-2 number, since 2×211222112120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239209199 + ... + 239210081.

It is an arithmetic number, because the mean of its divisors is an integer number (3854682000).

Almost surely, 2^211222112120 is an apocalyptic number.

211222112120 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 211222112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246699648000).

211222112120 is an abundant number, since it is smaller than the sum of its proper divisors (282177183880).

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

211222112120 is a wasteful number, since it uses less digits than its factorization.

211222112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211222112120 its reverse (21211222112), we get a palindrome (232433334232).

The spelling of 211222112120 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty".