12123332000 has 96 divisors (see below), whose sum is σ = 32078474064. Its totient is φ = 4476288000.

The previous prime is 12123331963. The next prime is 12123332069. The reversal of 12123332000 is 23332121.

12123332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3083536 + 12120248464 = 1756^2 + 110092^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12123332000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64571 + ... + 168570.

Almost surely, 2^12123332000 is an apocalyptic number.

12123332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123332000 is an abundant number, since it is smaller than the sum of its proper divisors (19955142064).

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

12123332000 is a wasteful number, since it uses less digits than its factorization.

12123332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233179 (or 233161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12123332000 its reverse (23332121), we get a palindrome (12146664121).

The spelling of 12123332000 in words is "twelve billion, one hundred twenty-three million, three hundred thirty-two thousand".