12006225 has 135 divisors (see below), whose sum is σ = 28436331. Its totient is φ = 4989600.

The previous prime is 12006223. The next prime is 12006229. The reversal of 12006225 is 52260021.

12006225 = 91² + 92² + ... + 332².

The square root of 12006225 is 3465.

It is a perfect power (a square), and thus also a powerful number.

12006225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4322241 + 7683984 = 2079^2 + 2772^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 12006225 - 2¹ = 12006223 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12006198 and 12006207.

It is not an unprimeable number, because it can be changed into a prime (12006223) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 1091470 + ... + 1091480.

Almost surely, 2^12006225 is an apocalyptic number.

12006225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12006225 is the 3465-th square number.

12006225 is the 1733-rd centered octagonal number.

It is an amenable number.

12006225 is an abundant number, since it is smaller than the sum of its proper divisors (16430106).

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

12006225 is a wasteful number, since it uses less digits than its factorization.

12006225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 12006225 is about 228.9824297014.

Adding to 12006225 its reverse (52260021), we get a palindrome (64266246).

The spelling of 12006225 in words is "twelve million, six thousand, two hundred twenty-five".