12332133000 has 192 divisors, whose sum is σ = 45472302720. Its totient is φ = 2989584000.

The previous prime is 12332132999. The next prime is 12332133001. The reversal of 12332133000 is 33123321.

12332133000 is a `hidden beast` number, since 1 + 2 + 332 + 1 + 330 + 0 + 0 = 666.

12332133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12332132999) and next prime (12332133001).

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

It is not an unprimeable number, because it can be changed into a prime (12332133001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36717 + ... + 161283.

It is an arithmetic number, because the mean of its divisors is an integer number (236834910).

Almost surely, 2^12332133000 is an apocalyptic number.

12332133000 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 12332133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22736151360).

12332133000 is an abundant number, since it is smaller than the sum of its proper divisors (33140169720).

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

12332133000 is a wasteful number, since it uses less digits than its factorization.

12332133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124605 (or 124588 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12332133000 its reverse (33123321), we get a palindrome (12365256321).

It can be divided in two parts, 123 and 32133000, that added together give a palindrome (32133123).

The spelling of 12332133000 in words is "twelve billion, three hundred thirty-two million, one hundred thirty-three thousand".