12330021123000 has 640 divisors, whose sum is σ = 49473074851200. Its totient is φ = 2805954048000.

The previous prime is 12330021122989. The next prime is 12330021123029. The reversal of 12330021123000 is 32112003321.

12330021123000 is a `hidden beast` number, since 1 + 2 + 330 + 0 + 21 + 12 + 300 + 0 = 666.

It is a super-2 number, since 2×12330021123000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 129795520 + ... + 129890480.

It is an arithmetic number, because the mean of its divisors is an integer number (77301679455).

Almost surely, 2^{12330021123000} is an apocalyptic number.

12330021123000 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 12330021123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24736537425600).

12330021123000 is an abundant number, since it is smaller than the sum of its proper divisors (37143053728200).

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

12330021123000 is a wasteful number, since it uses less digits than its factorization.

12330021123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95230 (or 95207 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12330021123000 its reverse (32112003321), we get a palindrome (12362133126321).

The spelling of 12330021123000 in words is "twelve trillion, three hundred thirty billion, twenty-one million, one hundred twenty-three thousand".