12120332333000 has 192 divisors, whose sum is σ = 29785784745600. Its totient is φ = 4607591788800.

The previous prime is 12120332332963. The next prime is 12120332333033. The reversal of 12120332333000 is 33323302121.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566916311 + ... + 566937689.

It is an arithmetic number, because the mean of its divisors is an integer number (155134295550).

Almost surely, 2^{12120332333000} is an apocalyptic number.

12120332333000 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 12120332333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892892372800).

12120332333000 is an abundant number, since it is smaller than the sum of its proper divisors (17665452412600).

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

12120332333000 is a wasteful number, since it uses less digits than its factorization.

12120332333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21737 (or 21566 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 12120332333000 its reverse (33323302121), we get a palindrome (12153655635121).

The spelling of 12120332333000 in words is "twelve trillion, one hundred twenty billion, three hundred thirty-two million, three hundred thirty-three thousand".