Rotational transitions of (C2HD)-C-12 were recorded in the range 100-700 GHz for the vibrational ground state and for the bending states upsilon(4) = 1 (H), upsilon(5) = 1 (I), upsilon(4) = 2 (Sigma(+) and Delta), upsilon(5) = 2 (Sigma(+) and Delta), upsilon(4) = upsilon(5) = 1 (Sigma(-), Sigma(+) and Delta), upsilon(4) = 3 (Pi and Phi) and upsilon(5) = 3 (Pi and Phi). The transition frequencies measured in this work were fitted together with all the infrared ro-vibrational transitions involving the same bending states available in the literature. The global fit allowed a very accurate determination of the vibrational, rotational, and l-type interaction parameters for the bending states up to upsilon(4) + upsilon(5) = 3 of this molecule. The results reported in this paper provide a set of information very useful for undertaking astronomical searches in both the mm-wave and the infrared spectral regions. The parameters from the global fit can be used to calculate accurate rest frequencies for rotational transitions in the ground state or in excited vibrational states involving the bending modes. Pure rotational transition frequencies up to 1 THz are listed.