112256001240 has 256 divisors, whose sum is σ = 352271462400. Its totient is φ = 28594675200.

The previous prime is 112256001181. The next prime is 112256001259. The reversal of 112256001240 is 42100652211.

112256001240 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112256001240.

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, 47991991 + ... + 47994329.

It is an arithmetic number, because the mean of its divisors is an integer number (1376060400).

Almost surely, 2^112256001240 is an apocalyptic number.

112256001240 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 112256001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176135731200).

112256001240 is an abundant number, since it is smaller than the sum of its proper divisors (240015461160).

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

112256001240 is a wasteful number, since it uses less digits than its factorization.

112256001240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 112256001240 its reverse (42100652211), we get a palindrome (154356653451).

The spelling of 112256001240 in words is "one hundred twelve billion, two hundred fifty-six million, one thousand, two hundred forty".