Pure rotational spectra of the ground vibrational states of six isotopologues of OC center dot center dot center dot AgI have been measured by chirped-pulse Fourier transform microwave spectroscopy. The spectra are assigned to determine the rotational constant, B-0, centrifugal distortion constant, D-J, and nuclear quadrupole coupling constant of the iodine atom,chi(aa)(I). The complex is linear. Isotopic substitutions at the silver, carbon, and oxygen atoms allow bond lengths to be established by the r(0), r(s), and r(m)((1)) methods of structure determination. The length of the C-O bond, r(CO), in the r0 geometry for OC center dot center dot center dot AgI is 0.008 angstrom shorter than that found in the free CO molecule. The length of the Ag-I bond, r(AgI), is 0.013 angstrom shorter than in free AgI. chi(aa)(I) is determined to be -769.84(22) MHz for OC center dot center dot center dot(AgI)-Ag-107 implying an ionic character of 0.66 for the metal halide bond. Attachment of carbon monoxide to the isolated AgI molecule results in an increase of the ionic character of AgI of 0.12. The molecular structure and spectroscopic parameters determined from the experimental data are presented alongside the results of calculations at the explicitly correlated coupled-cluster singles, doubles and perturbative triples level. Vibrational frequencies, the electric dipole moment, the nuclear quadrupole coupling constant, and the dissociation energy of the molecule have been calculated. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3683221]