1111112129 has 12 divisors (see below), whose sum is σ = 1229856516. Its totient is φ = 1000276992.

The previous prime is 1111112117. The next prime is 1111112141. The reversal of 1111112129 is 9212111111.

It is an interprime number because it is at equal distance from previous prime (1111112117) and next prime (1111112141).

It can be written as a sum of positive squares in 2 ways, for example, as 529000000 + 582112129 = 23000^2 + 24127^2 .

It is not a de Polignac number, because 1111112129 - 2¹⁶ = 1111046593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1111112129.

It is not an unprimeable number, because it can be changed into a prime (1111112179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52784 + ... + 70769.

It is an arithmetic number, because the mean of its divisors is an integer number (102488043).

Almost surely, 2^1111112129 is an apocalyptic number.

It is an amenable number.

1111112129 is a deficient number, since it is larger than the sum of its proper divisors (118744387).

1111112129 is a wasteful number, since it uses less digits than its factorization.

1111112129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123616 (or 123593 counting only the distinct ones).

The product of its digits is 36, while the sum is 20.

The square root of 1111112129 is about 33333.3486016632. The cubic root of 1111112129 is about 1035.7444849329.

The spelling of 1111112129 in words is "one billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty-nine".