1. The problem is to find the product of the first 12 prime numbers. 2. Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. 3. The first 12 prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37. 4. We multiply these primes together: $$2 \times 3 \times 5 \times 7 \times 11 \times 13 \times 17 \times 19 \times 23 \times 29 \times 31 \times 37$$ 5. Calculating step-by-step: $$2 \times 3 = 6$$ $$6 \times 5 = 30$$ $$30 \times 7 = 210$$ $$210 \times 11 = 2310$$ $$2310 \times 13 = 30030$$ $$30030 \times 17 = 510510$$ $$510510 \times 19 = 9699690$$ $$9699690 \times 23 = 223092870$$ $$223092870 \times 29 = 6469693230$$ $$6469693230 \times 31 = 200560490130$$ $$200560490130 \times 37 = 7420738134810$$ 6. Therefore, the product of the first 12 prime numbers is: $$7420738134810$$