On planet Zog, they use the base \(10\) number system.
The coins in circulation are \(1z, 2z, 3z, 4z ,5z, 6z, 10z, 12z, 15z, 20z, 30z\) and \(60z\).
Zaphod has a pocketful of change and notices that no combination of the coins she has will make exactly \(120z\).
If the maximum possible value of the coins she has is \(Pz\), what is the value of \(P\)?
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