12132333000 has 192 divisors, whose sum is σ = 41150229120. Its totient is φ = 3224016000.

The previous prime is 12132332977. The next prime is 12132333007. The reversal of 12132333000 is 33323121.

12132333000 is a `hidden beast` number, since 12 + 1 + 323 + 330 + 0 + 0 = 666.

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 (12132333007) 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, 2760805 + ... + 2765195.

It is an arithmetic number, because the mean of its divisors is an integer number (214324110).

Almost surely, 2^12132333000 is an apocalyptic number.

12132333000 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 12132333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20575114560).

12132333000 is an abundant number, since it is smaller than the sum of its proper divisors (29017896120).

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

12132333000 is a wasteful number, since it uses less digits than its factorization.

12132333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4708 counting only the distinct ones).

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

Adding to 12132333000 its reverse (33323121), we get a palindrome (12165656121).

The spelling of 12132333000 in words is "twelve billion, one hundred thirty-two million, three hundred thirty-three thousand".