Hard Series

What is the next number in this series?

4,12,84,3612....




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The following sentence is false. The preceding sentence is true.
Are these two sentences true or false?

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The richest man in the city Mr Rechard is kidnapped. James Bond is appointed to the case. At the crime scene, a note is found written by Mr Richard. The note read:

"First of January, Fourth of October, Fifth of March, Third of June."

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How many frogs are there on the log at this moment?

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This time with a note of victory in his voice, the intellectual asked Birbal, How will you demonstrate that?
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Is the statement valid that it does not matter how much older a sibling is, eventually the younger one will be half as old as the older one?

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Gamers

In 2011, people playing Foldit, an online puzzle game about protein folding, resolved the structure of an enzyme that causes an Aids-like disease in monkeys. Researchers had been working on the problem for 13 years. The gamers solved it in three weeks.