1.25mm is 0.049 inches. That includes the insulation? And presumably, that is only one (1) lead? Nothing is written on the wire itself?
At a S.W.A.G., allowing the PVC to be somewhere at /around 0.30 mm of the total diameter +/-, that would put you at 20 gauge AWG, or so (0.9mm).
Given that the most common wire gauges found in the USA are even numbers, the options are 22, 20, & 18. 18-gauge is too thick unless the PVC is very thin. If thick, then 22 gauge is most likely.
Peter Wieck
Melrose Park, PA