iPhone to printer

That printer is not in the list here: About AirPrint - Apple Support

Does that printer have wifi? If so, HP may have a dedicated app you can use for printing.

If the printer does not have wifi, you cannot print from your iPhone to it.

~Lyssa

Hi,

Possible, but not without complication. Since the HP Deskjet 1512 All-in-One Printer appears to be a USB-only model, a connection to a Mac computer running Mac OS X 10.7 Lion or higher (acting as a print server) would be required. Appropriate printer drivers for Mac must be installed on the computer. Additionally, a special Mac app such as Printopia is needed. The Mac would then be connected to a Wi-Fi router (wirelessly, or by Ethernet to one of the LAN ports). This should allow an iPhone using the same Wi-Fi network to print to the Deskjet 1512 printer.

Here is an official Apple guide to printing from your iPhone you may find helpful.