112235040 has 144 divisors (see below), whose sum is σ = 392549976. Its totient is φ = 29184000.

The previous prime is 112235021. The next prime is 112235041. The reversal of 112235040 is 40532211.

It can be written as a sum of positive squares in 4 ways, for example, as 33593616 + 78641424 = 5796^2 + 8868^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (112235041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58090 + ... + 59990.

Almost surely, 2^112235040 is an apocalyptic number.

112235040 is a gapful number since it is divisible by the number (10) 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 112235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196274988).

112235040 is an abundant number, since it is smaller than the sum of its proper divisors (280314936).

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

112235040 is a wasteful number, since it uses less digits than its factorization.

112235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 112235040 is about 10594.1040206334. The cubic root of 112235040 is about 482.3654076166.

Adding to 112235040 its reverse (40532211), we get a palindrome (152767251).

The spelling of 112235040 in words is "one hundred twelve million, two hundred thirty-five thousand, forty".