For wire gauge, 1.25 mm diameter wire is closest to 16 gauge (AWG). See related link.
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Probably 19 gauge, which is 1.067 mm
.953 mm (USG)
1 mm = 4/100 inches
There are various standards. Below are two examples. 32 gauge American Standard (Brown & Sharpe) = 0.00795 inches = 0.202 mm. 32 gauge British Standard (Imperial) = 0.0108 inches = 0.274 mm.
4.37 mm