112113126 has 64 divisors (see below), whose sum is σ = 260029440. Its totient is φ = 35773920.

The previous prime is 112113119. The next prime is 112113139. The reversal of 112113126 is 621311211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112113099 and 112113108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122611 + ... + 123521.

It is an arithmetic number, because the mean of its divisors is an integer number (4062960).

Almost surely, 2^112113126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112113126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130014720).

112113126 is an abundant number, since it is smaller than the sum of its proper divisors (147916314).

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

112113126 is a wasteful number, since it uses less digits than its factorization.

112113126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1012 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 112113126 is about 10588.3485964526. The cubic root of 112113126 is about 482.1906897447.

Adding to 112113126 its reverse (621311211), we get a palindrome (733424337).

The spelling of 112113126 in words is "one hundred twelve million, one hundred thirteen thousand, one hundred twenty-six".