12009000 has 64 divisors (see below), whose sum is σ = 37477440. Its totient is φ = 3201600.

The previous prime is 12008999. The next prime is 12009031. The reversal of 12009000 is 90021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999 + ... + 5001.

It is an arithmetic number, because the mean of its divisors is an integer number (585585).

Almost surely, 2^12009000 is an apocalyptic number.

12009000 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 12009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738720).

12009000 is an abundant number, since it is smaller than the sum of its proper divisors (25468440).

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

12009000 is a wasteful number, since it uses less digits than its factorization.

12009000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 12009000 is about 3465.4004097651. The cubic root of 12009000 is about 229.0000699198. Note that the first 4 decimals are identical.

Adding to 12009000 its reverse (90021), we get a palindrome (12099021).

The spelling of 12009000 in words is "twelve million, nine thousand".