211222211120 has 160 divisors (see below), whose sum is σ = 525746350080. Its totient is φ = 78684963840.

The previous prime is 211222211113. The next prime is 211222211129. The reversal of 211222211120 is 21112222112.

It is a super-2 number, since 2×211222211120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222211129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 39603974 + ... + 39609306.

It is an arithmetic number, because the mean of its divisors is an integer number (3285914688).

Almost surely, 2^211222211120 is an apocalyptic number.

211222211120 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 211222211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262873175040).

211222211120 is an abundant number, since it is smaller than the sum of its proper divisors (314524138960).

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

211222211120 is a wasteful number, since it uses less digits than its factorization.

211222211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5797 counting only the distinct ones).

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

Adding to 211222211120 its reverse (21112222112), we get a palindrome (232334433232).

The spelling of 211222211120 in words is "two hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty".