12330212001000 has 192 divisors, whose sum is σ = 39538112402880. Its totient is φ = 3199189075200.

The previous prime is 12330212000893. The next prime is 12330212001001. The reversal of 12330212001000 is 10021203321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12330212001001) 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, 2605879 + ... + 5608121.

It is an arithmetic number, because the mean of its divisors is an integer number (205927668765).

Almost surely, 2^{12330212001000} is an apocalyptic number.

12330212001000 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 12330212001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19769056201440).

12330212001000 is an abundant number, since it is smaller than the sum of its proper divisors (27207900401880).

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

12330212001000 is a wasteful number, since it uses less digits than its factorization.

12330212001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002341 (or 3002290 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12330212001000 its reverse (10021203321), we get a palindrome (12340233204321).

The spelling of 12330212001000 in words is "twelve trillion, three hundred thirty billion, two hundred twelve million, one thousand".