12033000 has 192 divisors, whose sum is σ = 46725120. Its totient is φ = 2736000.

The previous prime is 12032983. The next prime is 12033001. The reversal of 12033000 is 33021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (12033001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62905 + ... + 63095.

It is an arithmetic number, because the mean of its divisors is an integer number (243360).

Almost surely, 2^12033000 is an apocalyptic number.

12033000 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 12033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23362560).

12033000 is an abundant number, since it is smaller than the sum of its proper divisors (34692120).

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

12033000 is a wasteful number, since it uses less digits than its factorization.

12033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 12033000 is about 3468.8614846949. The cubic root of 12033000 is about 229.1525207062.

Adding to 12033000 its reverse (33021), we get a palindrome (12066021).

The spelling of 12033000 in words is "twelve million, thirty-three thousand".