112191040 has 112 divisors (see below), whose sum is σ = 291236400. Its totient is φ = 40919040.

The previous prime is 112191011. The next prime is 112191049. The reversal of 112191040 is 40191211.

It can be written as a sum of positive squares in 8 ways, for example, as 60466176 + 51724864 = 7776^2 + 7192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112190999 and 112191017.

It is not an unprimeable number, because it can be changed into a prime (112191049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619750 + ... + 619930.

It is an arithmetic number, because the mean of its divisors is an integer number (2600325).

Almost surely, 2^112191040 is an apocalyptic number.

112191040 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 112191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145618200).

112191040 is an abundant number, since it is smaller than the sum of its proper divisors (179045360).

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

112191040 is a wasteful number, since it uses less digits than its factorization.

112191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 112191040 is about 10592.0271902974. The cubic root of 112191040 is about 482.3023647616.

The spelling of 112191040 in words is "one hundred twelve million, one hundred ninety-one thousand, forty".