12006577 has 12 divisors (see below), whose sum is σ = 13352688. Its totient is φ = 10706000.

The previous prime is 12006541. The next prime is 12006583. The reversal of 12006577 is 77560021.

It is not a de Polignac number, because 12006577 - 2¹¹ = 12004529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12006587) 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 11 ways as a sum of consecutive naturals, for example, 112158 + ... + 112264.

It is an arithmetic number, because the mean of its divisors is an integer number (1112724).

Almost surely, 2^12006577 is an apocalyptic number.

It is an amenable number.

12006577 is a deficient number, since it is larger than the sum of its proper divisors (1346111).

12006577 is a wasteful number, since it uses less digits than its factorization.

12006577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 12006577 is about 3465.0507932785. The cubic root of 12006577 is about 228.9846674580.

Adding to 12006577 its reverse (77560021), we get a palindrome (89566598).

It can be divided in two parts, 1200 and 6577, that added together give a palindrome (7777).

The spelling of 12006577 in words is "twelve million, six thousand, five hundred seventy-seven".