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 \(120z\).
What is the maximum possible value, in \(z\), of the coins she has?
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