We are asked to find which of the given numbers cannot be the base of the number $12012$.

1. Problem Description

We are asked to find which of the given numbers cannot be the base of the number $12012$.

2. Solution Steps

The digits in a number must be less than the base. Therefore, the base of the number $12012$ must be greater than

2.

Let's check each option:

i. Three: The digits are 0, 1, and

2. Since all the digits are less than 3, three could be the base.

ii. Eight: The digits are 0, 1, and

2. Since all the digits are less than 8, eight could be the base.

iii. Four: The digits are 0, 1, and

2. Since all the digits are less than 4, four could be the base.

iv. Two: The digits are 0, 1, and

2. Since the digit 2 is not less than 2, two cannot be the base.

3. Final Answer

The base that cannot be the base of the number 12012 is two.