Within the framework of a modified potential cluster model with forbidden states, radiation n12C capture at energies from 10-5 keV to 5 MeV is considered, taking into account a wide resonance at Ex = 8.2 MeV. It is shown that on the basis of potentials that are consistent with the energies of the bound states, it is possible to correctly transfer the available experimental data. Based on the obtained total cross sections, the n12C capture reaction rate was calculated. The results for reaction rate are approximated by simple expressions, which simplifies their use in applied research.