112842240 has 160 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 25780224.

The previous prime is 112842229. The next prime is 112842241. The reversal of 112842240 is 42248211.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×112842240² = 25466742256435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112842240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112842241) 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, 52711 + ... + 54809.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^112842240 is an apocalyptic number.

112842240 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 112842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

112842240 is an abundant number, since it is smaller than the sum of its proper divisors (299631360).

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

112842240 is an equidigital number, since it uses as much as digits as its factorization.

112842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 112842240 is about 10622.7228147966. The cubic root of 112842240 is about 483.2337213137.

The spelling of 112842240 in words is "one hundred twelve million, eight hundred forty-two thousand, two hundred forty".