12001032000 has 336 divisors, whose sum is σ = 44802381312. Its totient is φ = 3060710400.

The previous prime is 12001031957. The next prime is 12001032007. The reversal of 12001032000 is 23010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001032007) 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, 1652377 + ... + 1659623.

Almost surely, 2^12001032000 is an apocalyptic number.

12001032000 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 12001032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22401190656).

12001032000 is an abundant number, since it is smaller than the sum of its proper divisors (32801349312).

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

12001032000 is a wasteful number, since it uses less digits than its factorization.

12001032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7303 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12001032000 its reverse (23010021), we get a palindrome (12024042021).

The spelling of 12001032000 in words is "twelve billion, one million, thirty-two thousand".