11122112211111 has 32 divisors (see below), whose sum is σ = 18040023148800. Its totient is φ = 6716339454240.

The previous prime is 11122112211071. The next prime is 11122112211137. The reversal of 11122112211111 is 11111221122111.

11122112211111 is a `hidden beast` number, since 111 + 221 + 1 + 221 + 1 + 111 = 666.

It is not a de Polignac number, because 11122112211111 - 2⁶ = 11122112211047 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 (11122112211191) 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 31 ways as a sum of consecutive naturals, for example, 67513741 + ... + 67678278.

It is an arithmetic number, because the mean of its divisors is an integer number (563750723400).

Almost surely, 2^{11122112211111} is an apocalyptic number.

11122112211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11122112211111 is a deficient number, since it is larger than the sum of its proper divisors (6917910937689).

11122112211111 is a wasteful number, since it uses less digits than its factorization.

11122112211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135192316 (or 135192310 counting only the distinct ones).

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

Adding to 11122112211111 its reverse (11111221122111), we get a palindrome (22233333333222).

It can be divided in two parts, 111221122111 and 11, that multiplied together give a palindrome (1223432343221).

The spelling of 11122112211111 in words is "eleven trillion, one hundred twenty-two billion, one hundred twelve million, two hundred eleven thousand, one hundred eleven".