In a recent preprint, M. Kontsevich and Y. Soibelman derive Donaldson-Thomas type invariants from Euler product factorizations of certain q-hypergeometric functions, and relate these to convolution algebra structures in equivariant cohomology of representation spaces. In the talk we discuss a relation to noncommutative Hilbert schemes and to the combinatorics of partitions, and we derive an explicit formula for certain quantized Donaldson-Thomas type invariants.