It is called a 'gross.' 12 dozen is 144 units. 12 units per dozen; whether it is eggs or what have you (12 * 12).
Actually good to know, especially if you had to do what I had to recently - throw a large family reunion party. Knowing your numbers in terms of budget cooking for a crowd comes into play as well.
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A dozen is twelve, so a dozen dozen would be 12x12, which is 144. It is called a gross.