211222110011112 has 192 divisors, whose sum is σ = 602193840768000. Its totient is φ = 66813868915200.

The previous prime is 211222110011111. The next prime is 211222110011113. The reversal of 211222110011112 is 211110011222112.

It is a happy number.

211222110011112 is a `hidden beast` number, since 211 + 222 + 110 + 0 + 11 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (211222110011111) and next prime (211222110011113).

It is a super-2 number, since 2×211222110011112² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (211222110011111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12168889 + ... + 23885687.

It is an arithmetic number, because the mean of its divisors is an integer number (3136426254000).

Almost surely, 2^{211222110011112} 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 211222110011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301096920384000).

211222110011112 is an abundant number, since it is smaller than the sum of its proper divisors (390971730756888).

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

211222110011112 is a wasteful number, since it uses less digits than its factorization.

211222110011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11717016 (or 11717009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211222110011112 its reverse (211110011222112), we get a palindrome (422332121233224).

The spelling of 211222110011112 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred ten million, eleven thousand, one hundred twelve".