11122111 has 32 divisors (see below), whose sum is σ = 15353856. Its totient is φ = 7776000.

The previous prime is 11122099. The next prime is 11122129.

11122111 = 1359² + 1360² + ... + 1364².

11122111 is nontrivially palindromic in base 10.

It is a 8-Lehmer number, since φ(11122111) divides (11122111-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 11122111 - 2¹³ = 11113919 is a prime.

It is a deceptive number, since it divides R_11122110.

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 (11122141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40906 + ... + 41176.

It is an arithmetic number, because the mean of its divisors is an integer number (479808).

Almost surely, 2^11122111 is an apocalyptic number.

11122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11122111 is a deficient number, since it is larger than the sum of its proper divisors (4231745).

11122111 is a wasteful number, since it uses less digits than its factorization.

11122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343.

The product of its digits is 4, while the sum is 10.

The square root of 11122111 is about 3334.9829085019. The cubic root of 11122111 is about 223.2179292882.

It can be divided in two parts, 1112 and 2111, that multiplied together give a palindrome (2347432).

The spelling of 11122111 in words is "eleven million, one hundred twenty-two thousand, one hundred eleven".