12330222333000 has 512 divisors, whose sum is σ = 45222291878400. Its totient is φ = 2757597696000.

The previous prime is 12330222332999. The next prime is 12330222333047. The reversal of 12330222333000 is 33322203321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 829249566 + ... + 829264434.

It is an arithmetic number, because the mean of its divisors is an integer number (88324788825).

Almost surely, 2^{12330222333000} is an apocalyptic number.

12330222333000 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 12330222333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22611145939200).

12330222333000 is an abundant number, since it is smaller than the sum of its proper divisors (32892069545400).

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

12330222333000 is a wasteful number, since it uses less digits than its factorization.

12330222333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16850 (or 16836 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 12330222333000 its reverse (33322203321), we get a palindrome (12363544536321).

The spelling of 12330222333000 in words is "twelve trillion, three hundred thirty billion, two hundred twenty-two million, three hundred thirty-three thousand".