12233000 has 64 divisors (see below), whose sum is σ = 30859920. Its totient is φ = 4512000.

The previous prime is 12232999. The next prime is 12233009. The reversal of 12233000 is 33221.

It can be written as a sum of positive squares in 8 ways, for example, as 24964 + 12208036 = 158^2 + 3494^2 .

It is not an unprimeable number, because it can be changed into a prime (12233009) 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 15 ways as a sum of consecutive naturals, for example, 12530 + ... + 13470.

Almost surely, 2^12233000 is an apocalyptic number.

12233000 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 12233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429960).

12233000 is an abundant number, since it is smaller than the sum of its proper divisors (18626920).

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

12233000 is a wasteful number, since it uses less digits than its factorization.

12233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 12233000 is about 3497.5705854207. The cubic root of 12233000 is about 230.4151292952.

Adding to 12233000 its reverse (33221), we get a palindrome (12266221).

The spelling of 12233000 in words is "twelve million, two hundred thirty-three thousand".