In galactic astronomy, a common unit of density is solar masses per cubic parsec ($M_\odot/\text{pc}^3$). If a globular cluster has a core mass density of $120 \text{ M}_\odot/\text{pc}^3$, what is this density in SI units of $\text{kg/m}^3$? (Take $1 \text{ M}_\odot \approx 1.9884 \times 10^{30} \text{ kg}$ and $1 \text{ pc} \approx 3.0857 \times 10^{16} \text{ m}$)