11122111122111 has 24 divisors (see below), whose sum is σ = 17527248186240. Its totient is φ = 6740097512400.

The previous prime is 11122111122043. The next prime is 11122111122149.

11122111122111 is a `hidden beast` number, since 111 + 221 + 111 + 221 + 1 + 1 = 666.

11122111122111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11122111122111 - 2⁷ = 11122111121983 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122111122151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3633085 + ... + 5953446.

It is an arithmetic number, because the mean of its divisors is an integer number (730302007760).

Almost surely, 2^{11122111122111} is an apocalyptic number.

11122111122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11122111122111 is a deficient number, since it is larger than the sum of its proper divisors (6405137064129).

11122111122111 is a wasteful number, since it uses less digits than its factorization.

11122111122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9598267 (or 9598264 counting only the distinct ones).

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

It can be divided in two parts, 1112211 and 1122111, that added together give a palindrome (2234322).

The spelling of 11122111122111 in words is "eleven trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred eleven".