An exotic fuel has a mass-energy equivalence of $3.5 \times 10^{16} \text{ Joules/kg}$. If a space probe requires $1.2 \times 10^{14} \text{ kWh}$ of energy, how many grams of fuel are needed? (Note: $1 \text{ kWh} = 3.6 \times 10^6 \text{ J}$)