Is 12049 a prime number?

12 049 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 12 049 is about 109.768.

Thus, the square root of 12 049 is not an integer, and therefore 12 049 is not a square number.

Anyway, 12 049 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 12 049) is the result of the product of this number (12 049) by itself (i.e., 12 049 × 12 049); the square of 12 049 is sometimes called "raising 12 049 to the power 2", or "12 049 squared".

The square of 12 049 is 145 178 401 because 12 049 × 12 049 = 12 049² = 145 178 401.

As a consequence, 12 049 is the square root of 145 178 401.

12 049 is a number with 5 digits.

The multiples of 12 049 are all integers evenly divisible by 12 049, that is all numbers such that the remainder of the division by 12 049 is zero. There are infinitely many multiples of 12 049. The smallest multiples of 12 049 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 12 049 too, since 0 × 12 049 = 0
• 12 049: indeed, 12 049 is a multiple of itself, since 12 049 is evenly divisible by 12 049 (we have 12 049 / 12 049 = 1, so the remainder of this division is indeed zero)
• 24 098: indeed, 24 098 = 12 049 × 2
• 36 147: indeed, 36 147 = 12 049 × 3
• 48 196: indeed, 48 196 = 12 049 × 4
• 60 245: indeed, 60 245 = 12 049 × 5
• etc.

• Preceding numbers: …12 047, 12 048
• Following numbers: 12 050, 12 051…

Nearest numbers from 12 049

• Preceding prime number: 12 043
• Following prime number: 12 071

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• 12 049 est-il un nombre premier ?