12289200 has 360 divisors, whose sum is σ = 52585920. Its totient is φ = 2419200.

The previous prime is 12289183. The next prime is 12289213. The reversal of 12289200 is 298221.

12289200 = T₄₅₁ + T₄₅₂ + ... + T₅₄₈.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 646791 + ... + 646809.

It is an arithmetic number, because the mean of its divisors is an integer number (146072).

Almost surely, 2^12289200 is an apocalyptic number.

12289200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12289200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26292960).

12289200 is an abundant number, since it is smaller than the sum of its proper divisors (40296720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12289200 is a wasteful number, since it uses less digits than its factorization.

12289200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12289200 is about 3505.5955271537. The cubic root of 12289200 is about 230.7674427212.

The spelling of 12289200 in words is "twelve million, two hundred eighty-nine thousand, two hundred".