12001400

12001400 is a natural number that lies between 12001399 and 12001401. In decimal notation it is written as 12001400 and is an even, composite integer. The number can be expressed by its prime factorization as 2^3 × 5^2 × 23 × 2609.

A brief derivation of the factorization can be shown by divisibility properties. Since the last two digits are 00, 12001400 is divisible by 100, giving 120014. The quotient 120014 is even, so it factors as 2 × 60007. The remaining factor 60007 further splits as 23 × 2609, with 2609 being a prime number. Therefore the complete factorization is 2^3 × 5^2 × 23 × 2609.

As a result, 12001400 has 48 positive divisors, calculated from its prime exponents via (3+1) × (2+1) × (1+1) × (1+1). It is not a perfect square or cube because the exponents are not all even or multiples of three. The number ends in 00, reflecting its divisibility by 4 and 25, and its digital sum is 8, indicating it is not divisible by 3.

In summary, 12001400 is a composite decimal number notable for its explicit prime factorization and divisor structure, illustrating standard properties of large even integers.