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69,546,588,412,354 times, give or take..... ;)
 

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I figure it takes about 5 seconds for a full rotation of the ball.
So you divide that into 31,557,600 seconds for a year.
Which is about 6,311,520 a year for each rotation.
Then multiple that by 12 years...

So your answer is about 75,738,240 rotations in the past 12 years.
 
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