12032133000 has 128 divisors (see below), whose sum is σ = 37790288640. Its totient is φ = 3187200000.

The previous prime is 12032132939. The next prime is 12032133007. The reversal of 12032133000 is 33123021.

12032133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12032133007) 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 31 ways as a sum of consecutive naturals, for example, 439720 + ... + 466280.

It is an arithmetic number, because the mean of its divisors is an integer number (295236630).

Almost surely, 2^12032133000 is an apocalyptic number.

12032133000 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 12032133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18895144320).

12032133000 is an abundant number, since it is smaller than the sum of its proper divisors (25758155640).

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

12032133000 is a wasteful number, since it uses less digits than its factorization.

12032133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26736 (or 26722 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12032133000 its reverse (33123021), we get a palindrome (12065256021).

The spelling of 12032133000 in words is "twelve billion, thirty-two million, one hundred thirty-three thousand".