112432560240 has 320 divisors, whose sum is σ = 467972047872. Its totient is φ = 21565440000.

The previous prime is 112432560199. The next prime is 112432560259. The reversal of 112432560240 is 42065234211.

112432560240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112432560198 and 112432560207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6240 + ... + 474240.

Almost surely, 2^112432560240 is an apocalyptic number.

112432560240 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 112432560240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233986023936).

112432560240 is an abundant number, since it is smaller than the sum of its proper divisors (355539487632).

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

112432560240 is a wasteful number, since it uses less digits than its factorization.

112432560240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468048 (or 468042 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 112432560240 its reverse (42065234211), we get a palindrome (154497794451).

The spelling of 112432560240 in words is "one hundred twelve billion, four hundred thirty-two million, five hundred sixty thousand, two hundred forty".