12001201012032 has 224 divisors, whose sum is σ = 34233450577920. Its totient is φ = 3698867128320.

The previous prime is 12001201011997. The next prime is 12001201012043. The reversal of 12001201012032 is 23021010210021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36766213 + ... + 37091195.

Almost surely, 2^{12001201012032} is an apocalyptic number.

12001201012032 is a gapful number since it is divisible by the number (12) 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 12001201012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116725288960).

12001201012032 is an abundant number, since it is smaller than the sum of its proper divisors (22232249565888).

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

12001201012032 is a wasteful number, since it uses less digits than its factorization.

12001201012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325261 (or 325251 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12001201012032 its reverse (23021010210021), we get a palindrome (35022211222053).

The spelling of 12001201012032 in words is "twelve trillion, one billion, two hundred one million, twelve thousand, thirty-two".