Combined relativistic configuration interaction and many-body perturbation calculations are performed for the 359 fine-structure levels of the 2s^2^2p^3^, 2s2p^4^, 2p^5^, 2s^2^2p^2^3l, 2s2p^3^3l, 2p^4^3l, and 2s^2^2p^2^4l configurations in N-like ions from Ar XII to Zn XXIV. Complete and consistent data sets of energies, wavelengths, radiative rates, oscillator strengths, and line strengths for all possible electric dipole, magnetic dipole, electric quadrupole, and magnetic quadrupole transitions among the 359 levels are given for each ion. The present work significantly increases the amount of accurate data for ions in the nitrogen-like sequence, and the accuracy of the energy levels is high enough to enable the identification and interpretation of observed spectra involving the n=3, 4 levels, for which experimental values are largely scarce. Meanwhile, the results should be of great help for modeling and diagnosing astrophysical and fusion plasmas.