Hello! Please tell me if I can increase the amount of memory from 8 gigabytes to 16 or 32? I have a 2012 Mac Mini.

16GB is the maximum RAM for a 2012 Mac Mini.

https://eshop.macsales.com/shop/memory/Apple/Mac_mini/DDR3_1600

16 GB maximum, in the form of two SO-DIMMs.

Macs can be picky about RAM, so in general, I would suggest getting RAM either from Other World Computing or from Crucial. Crucial "currently does not have any compatible memory updates" for the Late 2012 Mac mini – so that makes the choice of OWC (see link that den.thed posted) an easy one.

You've got one of the Minis where the RAM is really easy to upgrade. There's a large, screw-off access hatch on the bottom of the Mini. Apple provides instructions on how to replace RAM, and OWC has installation videos on their site. (Just take normal anti-static precautions, including not letting feline static generators be with you in a room where you're performing the upgrade.)

Upgrade or install memory in your Mac mini - Apple Support

Hi,

Amazon also carry the RAM for your Mac mini.

https://www.amazon.com/Timetec-1600MHz-PC3L-12800-Pro13-inch-21-5-inch/dp/B00SNSKH7M/ref=sr_1_2_sspa?crid=3BQ91VPM79JO6&dib=eyJ2IjoiMSJ9.AWfIBpH_oPJ3XUQPf8LYQlbv9pTFifQRkBo9TnlTYf5myiy-LzfpBzV_WRHeTHsLGADmLUF5WX3TGDBfAEaBctqcsDEzwpUF6ad_MioiI0zD_zBC-k367oUM0hnUq9VvTUdWoqKGp87BytCyiaRFxz73ywbdYmKf81shXXLs-VEFT7Cxgl60QShH4MYq_-quhG6q1kKU5Gt1z1WugibqIdAQCRuu4HVvfnytyrvh9ec.OYqTYPpcRihVpVPTfA4Y2hENX2N_dD_eqFeDEC92UIQ&dib_tag=se&keywords=mac%2Bmini%2B2012%2Bram&qid=1715262047&s=computers-intl-ship&sprefix=mac%2Bmini%2B2012%2Bram%2Ccomputers-intl-ship%2C267&sr=1-2-spons&sp_csd=d2lkZ2V0TmFtZT1zcF9hdGY&th=1

I increased mine from 4 GB to 10 GB but didn't notice any difference!