12005800 has 24 divisors (see below), whose sum is σ = 27913950. Its totient is φ = 4802240.

The previous prime is 12005789. The next prime is 12005801. The reversal of 12005800 is 850021.

It is a happy number.

12005800 is digitally balanced in base 2, 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 3 ways, for example, as 11737476 + 268324 = 3426^2 + 518^2 .

It is not an unprimeable number, because it can be changed into a prime (12005801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29815 + ... + 30214.

Almost surely, 2^12005800 is an apocalyptic number.

12005800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12005800 is an abundant number, since it is smaller than the sum of its proper divisors (15908150).

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

12005800 is a wasteful number, since it uses less digits than its factorization.

12005800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60045 (or 60036 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 12005800 is about 3464.9386718959. The cubic root of 12005800 is about 228.9797278063.

Adding to 12005800 its reverse (850021), we get a palindrome (12855821).

The spelling of 12005800 in words is "twelve million, five thousand, eight hundred".