112112345000 has 80 divisors (see below), whose sum is σ = 263233238400. Its totient is φ = 44750360000.

The previous prime is 112112344943. The next prime is 112112345063. The reversal of 112112345000 is 543211211.

112112345000 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 (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2371595 + ... + 2418405.

It is an arithmetic number, because the mean of its divisors is an integer number (3290415480).

Almost surely, 2^112112345000 is an apocalyptic number.

112112345000 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 112112345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131616619200).

112112345000 is an abundant number, since it is smaller than the sum of its proper divisors (151120893400).

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

112112345000 is an equidigital number, since it uses as much as digits as its factorization.

112112345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47316 (or 47297 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 112112345000 its reverse (543211211), we get a palindrome (112655556211).

The spelling of 112112345000 in words is "one hundred twelve billion, one hundred twelve million, three hundred forty-five thousand".