1114224111 has 96 divisors (see below), whose sum is σ = 2173237248. Its totient is φ = 531256320.

The previous prime is 1114224091. The next prime is 1114224119.

1114224111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1114224111 - 2⁵ = 1114224079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114224119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3035850 + ... + 3036216.

It is an arithmetic number, because the mean of its divisors is an integer number (22637888).

Almost surely, 2^1114224111 is an apocalyptic number.

1114224111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1114224111 is a deficient number, since it is larger than the sum of its proper divisors (1059013137).

1114224111 is a wasteful number, since it uses less digits than its factorization.

1114224111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 738 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1114224111 is about 33379.9956710602. The cubic root of 1114224111 is about 1036.7105481552.

It can be divided in two parts, 11142 and 24111, that added together give a palindrome (35253).

The spelling of 1114224111 in words is "one billion, one hundred fourteen million, two hundred twenty-four thousand, one hundred eleven".