A motor vehicle includes a hybrid drive having an internal combustion engine and an electric drive motor, and an air conditioning system having a compressor configured to compress a refrigerant, and an electric motor configured to operate the compressor and to start the internal combustion engine as electric starter when being coupled with the internal combustion engine. The electric motor has an inverter to operate the electric motor directly with high voltage of a high-voltage onboard electrical system of the motor vehicle so as to enable the electric motor to apply a mechanical torque for re-staring the internal combustion engine in case of need in the absence of any assistance from the electric drive motor. A clutch device mechanically couples the electric motor of the air conditioning system with the internal combustion engine in response to a control signal.