Systems and methods enable connection of, and are usable to connect, well servicing equipment to other well equipment, including wellheads, blowout preventers, and other well servicing equipment. The systems comprise connecting apparatus having a male connector and female connector. The male connector comprises an elongate body having an axial bore extending therethrough and a plurality of protrusions extending from the elongate body at an angle relative to the axial bore. The female connector can be adapted for connection with the male connector, wherein engagement between the male connector and female connector communicates the axial bore of the male connector with a bore of the female connector to define a flowpath for communicating a medium. The systems and methods enable the ability to connect or disconnect well equipment remotely without the need of a diver, an ROV, and without the need to bring the well equipment to the surface for disassembly.