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BaseRepresentation
bin110100001101001001…
…0001011010010000000
3101201101010222021201220
41220122102023102000
53314100142401422
6123300324555040
711046123212652
oct1503222132200
9351333867656
10112110122112
114360027208a
1219889552a80
13a758720081
1455d75466d2
hex1a1a48b480

112110122112 has 128 divisors (see below), whose sum is σ = 307625472000. Its totient is φ = 36137886720.

The previous prime is 112110122101. The next prime is 112110122141. The reversal of 112110122112 is 211221011211.

Adding to 112110122112 its reverse (211221011211), we get a palindrome (323331133323).

It is a happy number.

112110122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 112110122091 and 112110122100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21984139 + ... + 21989237.

It is an arithmetic number, because the mean of its divisors is an integer number (2403324000).

Almost surely, 2112110122112 is an apocalyptic number.

112110122112 is a gapful number since it is divisible by the number (12) 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 112110122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153812736000).

112110122112 is an abundant number, since it is smaller than the sum of its proper divisors (195515349888).

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

112110122112 is a wasteful number, since it uses less digits than its factorization.

112110122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

The spelling of 112110122112 in words is "one hundred twelve billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".