12009600 has 192 divisors, whose sum is σ = 44268000. Its totient is φ = 3179520.

The previous prime is 12009593. The next prime is 12009623. The reversal of 12009600 is 690021.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86331 + ... + 86469.

Almost surely, 2^12009600 is an apocalyptic number.

12009600 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 12009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22134000).

12009600 is an abundant number, since it is smaller than the sum of its proper divisors (32258400).

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

12009600 is a wasteful number, since it uses less digits than its factorization.

12009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12009600 is about 3465.4869787665. The cubic root of 12009600 is about 229.0038836638.

Adding to 12009600 its reverse (690021), we get a palindrome (12699621).

The spelling of 12009600 in words is "twelve million, nine thousand, six hundred".