211122111011112 has 320 divisors, whose sum is σ = 719200315595520. Its totient is φ = 56484143880192.

The previous prime is 211122111011111. The next prime is 211122111011131. The reversal of 211122111011112 is 211110111221112.

211122111011112 is a `hidden beast` number, since 211 + 1 + 221 + 110 + 11 + 112 = 666.

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 (211122111011111) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 8242173 + ... + 22139955.

It is an arithmetic number, because the mean of its divisors is an integer number (2247500986236).

Almost surely, 2^{211122111011112} 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 211122111011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359600157797760).

211122111011112 is an abundant number, since it is smaller than the sum of its proper divisors (508078204584408).

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

211122111011112 is a wasteful number, since it uses less digits than its factorization.

211122111011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13898022 (or 13898009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 211122111011112 its reverse (211110111221112), we get a palindrome (422232222232224).

The spelling of 211122111011112 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred eleven million, eleven thousand, one hundred twelve".