111012416 has 28 divisors (see below), whose sum is σ = 220880940. Its totient is φ = 55357440.

The previous prime is 111012403. The next prime is 111012427. The reversal of 111012416 is 614210111.

It can be written as a sum of positive squares in 2 ways, for example, as 106172416 + 4840000 = 10304^2 + 2200^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111012394 and 111012403.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 24056 + ... + 28296.

It is an arithmetic number, because the mean of its divisors is an integer number (7888605).

Almost surely, 2^111012416 is an apocalyptic number.

111012416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

111012416 is a deficient number, since it is larger than the sum of its proper divisors (109868524).

111012416 is an equidigital number, since it uses as much as digits as its factorization.

111012416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 111012416 is about 10536.2429736600. The cubic root of 111012416 is about 480.6074716211.

Adding to 111012416 its reverse (614210111), we get a palindrome (725222527).

The spelling of 111012416 in words is "one hundred eleven million, twelve thousand, four hundred sixteen".