12006176 has 144 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 4354560.

The previous prime is 12006133. The next prime is 12006179. The reversal of 12006176 is 67160021.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12006179) 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, 387281 + ... + 387311.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 2^12006176 is an apocalyptic number.

12006176 is a gapful number since it is divisible by the number (16) 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 12006176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

12006176 is an abundant number, since it is smaller than the sum of its proper divisors (20169184).

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

12006176 is a wasteful number, since it uses less digits than its factorization.

12006176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 12006176 is about 3464.9929292857. The cubic root of 12006176 is about 228.9821181921.

Adding to 12006176 its reverse (67160021), we get a palindrome (79166197).

The spelling of 12006176 in words is "twelve million, six thousand, one hundred seventy-six".