12002400

12002400 is a positive integer. In decimal notation it is written as 12,002,400. The number is even and ends with two zeros, indicating divisibility by 100.

Prime factorization and divisibility

The prime factorization of 12,002,400 is 2^5 × 3^2 × 5^2 × 1667, where 1667 is a prime number. This decomposition implies several divisibility properties: the number is divisible by 32 (2^5), by 9 (3^2), by 25 (5^2), and by their combinations. It is also divisible by 900, since 900 = 9 × 100 and 12,002,400 is divisible by both 9 and 100. The large prime factor 1667 is relatively uncommon in small-number factorizations.

Basic arithmetic characteristics

- Number of divisors: (5+1) × (2+1) × (2+1) × (1+1) = 6 × 3 × 3 × 2 = 108.

- Sum of divisors: 42,348,852 (computed from the prime factorization).

- Digital sum (sum of digits): 1+2+0+0+2+4+0+0 = 9, indicating divisibility by 9.

Context and notes

12,002,400 is close to 12,000,000, sitting 2,400 above that round number. Its factorization shows it is not a prime or a small perfect power, but a composite with a relatively large prime factor. The number does not have widespread mathematical significance beyond its factorization properties and its role as an example of a highly composite structure with a single large prime component.