Normally we say 1月、2月、3月(January, February, March) in standard Japanese.
But we used to use lunar calendar before, and at that time, we have other words to describe month of the year.
For example, 弥生(やよい、yayoi) =March, 皐月(さつき、satsuki)=May, 葉月(はづき、hazuki).
My favorite one is 神無月(かんなづき, kannazuki, meaning=God, no, month).
Only Shimane prefecture where Izumo-shrine is they call 神在月(かみありづき、kamiarizuki, mean=God, there, month)
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