\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find the smallest \(n \in \mathbb{N}^*\) such that \(n\) has exactly \(12\) positive divisors. Hint. \(12 = 12 = 6 \cdot 2 = 4 \cdot 3 = 3 \cdot 2 \cdot 2\), decompose as products of (exponent + 1) values.
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