112696128 has 126 divisors (see below), whose sum is σ = 343649046. Its totient is φ = 35303424.

The previous prime is 112696123. The next prime is 112696147. The reversal of 112696128 is 821696211.

112696128 is a `hidden beast` number, since 11 + 26 + 9 + 612 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 84052224 + 28643904 = 9168^2 + 5352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 112696092 and 112696101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112696121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 166126 + ... + 166802.

Almost surely, 2^112696128 is an apocalyptic number.

112696128 is a gapful number since it is divisible by the number (18) 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 112696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171824523).

112696128 is an abundant number, since it is smaller than the sum of its proper divisors (230952918).

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

112696128 is a wasteful number, since it uses less digits than its factorization.

112696128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 699 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 112696128 is about 10615.8432543063. The cubic root of 112696128 is about 483.0250620330.

The spelling of 112696128 in words is "one hundred twelve million, six hundred ninety-six thousand, one hundred twenty-eight".