As the doughty sunshine warrior (??) says, we were taught at school that ‘got’ used in this sense was redundant and not proper usage. “He told me to get it, so I got it” was just about acceptable, but rather an ugly construction and it was safest to avoid ‘got’ altogether. It is, nevertheless, frequently used.

‘Gotten’ is strictly US usage and I don’t think I have heard it used here in the UK other than in fun.