6×12011

6×12011 denotes the product of the integers 6 and 12011. The expression evaluates to 72066.

Calculation details: 12011 multiplied by 6 equals 12011 + 12011 + 12011 + 12011 + 12011 + 12011, which sums to 72066. Since 6 equals 2×3 and 12011 is not divisible by 2 or 3 (12011 mod 2 = 1 and 12011 mod 3 = 2), the greatest common divisor gcd(6,12011) is 1, so the two factors are relatively prime.

Properties: The product 72066 is an even number and is divisible by 3, as the sum of its digits (7+2+0+6+6 = 21) is divisible by 3. Consequently, 72066 is divisible by 6. The full prime factorization depends on whether 12011 has nontrivial prime factors; at minimum, the product includes the factors 2 and 3 from 6.

Context: Expressions of the form a×b are common in arithmetic, tutoring, and computer calculations. The specific pair (6, 12011) yields a moderate-sized integer suitable for illustrating multiplication, checks, and modular arithmetic exercises such as computing 72066 mod n for various n.