112322433432240 has 200 divisors, whose sum is σ = 390136583886720. Its totient is φ = 29950796058624.

The previous prime is 112322433432239. The next prime is 112322433432241. The reversal of 112322433432240 is 42234334223211.

112322433432240 is a `hidden beast` number, since 1 + 1 + 2 + 32 + 2 + 43 + 343 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (112322433432239) and next prime (112322433432241).

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

It is a junction number, because it is equal to n+sod(n) for n = 112322433432195 and 112322433432204.

It is not an unprimeable number, because it can be changed into a prime (112322433432241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105854241 + ... + 106910079.

Almost surely, 2^{112322433432240} is an apocalyptic number.

112322433432240 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 112322433432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195068291943360).

112322433432240 is an abundant number, since it is smaller than the sum of its proper divisors (277814150454480).

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

112322433432240 is a wasteful number, since it uses less digits than its factorization.

112322433432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072281 (or 1072266 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 112322433432240 its reverse (42234334223211), we get a palindrome (154556767655451).

The spelling of 112322433432240 in words is "one hundred twelve trillion, three hundred twenty-two billion, four hundred thirty-three million, four hundred thirty-two thousand, two hundred forty".