12286080 has 192 divisors, whose sum is σ = 44553600. Its totient is φ = 3234816.

The previous prime is 12286073. The next prime is 12286081. The reversal of 12286080 is 8068221.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (12286081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 155481 + ... + 155559.

It is an arithmetic number, because the mean of its divisors is an integer number (232050).

Almost surely, 2^12286080 is an apocalyptic number.

12286080 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 12286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

12286080 is an abundant number, since it is smaller than the sum of its proper divisors (32267520).

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

12286080 is an frugal number, since it uses more digits than its factorization.

12286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12286080 is about 3505.1504960558. The cubic root of 12286080 is about 230.7479118767.

The spelling of 12286080 in words is "twelve million, two hundred eighty-six thousand, eighty".