112841217056 has 96 divisors (see below), whose sum is σ = 244188120960. Its totient is φ = 51091070976.

The previous prime is 112841217053. The next prime is 112841217061. The reversal of 112841217056 is 650712148211.

112841217056 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 (38).

It is not an unprimeable number, because it can be changed into a prime (112841217053) 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, 37153970 + ... + 37157006.

It is an arithmetic number, because the mean of its divisors is an integer number (2543626260).

Almost surely, 2^112841217056 is an apocalyptic number.

112841217056 is a gapful number since it is divisible by the number (16) 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 112841217056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122094060480).

112841217056 is an abundant number, since it is smaller than the sum of its proper divisors (131346903904).

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

112841217056 is a wasteful number, since it uses less digits than its factorization.

112841217056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The spelling of 112841217056 in words is "one hundred twelve billion, eight hundred forty-one million, two hundred seventeen thousand, fifty-six".