211222110112 has 96 divisors (see below), whose sum is σ = 449717123520. Its totient is φ = 97077657600.

The previous prime is 211222110107. The next prime is 211222110137. The reversal of 211222110112 is 211011222112.

211222110112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211222110112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 183192928 + ... + 183194080.

It is an arithmetic number, because the mean of its divisors is an integer number (4684553370).

Almost surely, 2^211222110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224858561760).

211222110112 is an abundant number, since it is smaller than the sum of its proper divisors (238495013408).

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

211222110112 is a wasteful number, since it uses less digits than its factorization.

211222110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2638 counting only the distinct ones).

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

Adding to 211222110112 its reverse (211011222112), we get a palindrome (422233332224).

The spelling of 211222110112 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred ten thousand, one hundred twelve".