111312124 has 72 divisors (see below), whose sum is σ = 261826992. Its totient is φ = 40803840.

The previous prime is 111312109. The next prime is 111312133. The reversal of 111312124 is 421213111.

111312124 = T₁₂₇ + T₁₂₈ + ... + T₈₇₄.

It is a junction number, because it is equal to n+sod(n) for n = 111312098 and 111312107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35134 + ... + 38170.

It is an arithmetic number, because the mean of its divisors is an integer number (3636486).

Almost surely, 2^111312124 is an apocalyptic number.

111312124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111312124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130913496).

111312124 is an abundant number, since it is smaller than the sum of its proper divisors (150514868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111312124 is a wasteful number, since it uses less digits than its factorization.

111312124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3074 counting only the distinct ones).

The product of its digits is 48, while the sum is 16.

The square root of 111312124 is about 10550.4561038848. The cubic root of 111312124 is about 481.0395928699.

Adding to 111312124 its reverse (421213111), we get a palindrome (532525235).

The spelling of 111312124 in words is "one hundred eleven million, three hundred twelve thousand, one hundred twenty-four".