What’s the name of this type of connector

It's more commonly known as an M12 connector. They're industrial connectors used for remote sensors or ethernet. There are a bunch of people that make them. There are smaller versions too, the M8 series.

Several companies make them.

http://www.te.com/catalog/minf/en/856

http://www.molex.com/molex/products/group?key=brad_m12_product_families&channel=products

For some product page links. Binder USA also makes them, and a number of other industrial manufacturers.

You can also find them from distributors like Digikey and Mouser. (Just search M12)

As long as they're the same number of poles and have the same keying, they should fit. I'd order a sample from Molex or TE and double check.

I would stress relieve the connector if you're doing a PCB mount, the mating force for these is pretty high. All the PCB connectors I've seen are panel mount.

Without a measurement scale in the photo, those are probably intended to mate with .025 " (0.63 mm) square posts on a 0.1" pitch. Back in the day wire wrap pins would have been the term. The easiest way to buy them nowadays is as a breakaway, single row male header in a convenient length. I've used digikey.com as the source just because the link was available, but any electronics part house should have what you need. A header using a smaller pitch will have a smaller pin, so don't try it unless you are willing to replace the female components.