12032001000 has 192 divisors, whose sum is σ = 40767667200. Its totient is φ = 3200688000.

The previous prime is 12032000989. The next prime is 12032001001. The reversal of 12032001000 is 10023021.

It is a happy number.

12032001000 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 (9).

It is not an unprimeable number, because it can be changed into a prime (12032001001) 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, 4309605 + ... + 4312395.

It is an arithmetic number, because the mean of its divisors is an integer number (212331600).

Almost surely, 2^12032001000 is an apocalyptic number.

12032001000 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 12032001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383833600).

12032001000 is an abundant number, since it is smaller than the sum of its proper divisors (28735666200).

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

12032001000 is a wasteful number, since it uses less digits than its factorization.

12032001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3280 counting only the distinct ones).

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

Adding to 12032001000 its reverse (10023021), we get a palindrome (12042024021).

The spelling of 12032001000 in words is "twelve billion, thirty-two million, one thousand".