12096000 has 320 divisors, whose sum is σ = 51068160. Its totient is φ = 2764800.

The previous prime is 12095971. The next prime is 12096001. The reversal of 12096000 is 69021.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12096001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727997 + ... + 1728003.

It is an arithmetic number, because the mean of its divisors is an integer number (159588).

Almost surely, 2^12096000 is an apocalyptic number.

12096000 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 12096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534080).

12096000 is an abundant number, since it is smaller than the sum of its proper divisors (38972160).

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

12096000 is an frugal number, since it uses more digits than its factorization.

12096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

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

The square root of 12096000 is about 3477.9304190855. The cubic root of 12096000 is about 229.5517419327.

The spelling of 12096000 in words is "twelve million, ninety-six thousand".