12001100312032 has 192 divisors, whose sum is σ = 27463154483520. Its totient is φ = 5115615657984.

The previous prime is 12001100312011. The next prime is 12001100312039. The reversal of 12001100312032 is 23021300110021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12001100311997 and 12001100312015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001100312039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65677948 + ... + 65860420.

It is an arithmetic number, because the mean of its divisors is an integer number (143037262935).

Almost surely, 2^{12001100312032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001100312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13731577241760).

12001100312032 is an abundant number, since it is smaller than the sum of its proper divisors (15462054171488).

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

12001100312032 is a wasteful number, since it uses less digits than its factorization.

12001100312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182725 (or 182717 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12001100312032 its reverse (23021300110021), we get a palindrome (35022400422053).

The spelling of 12001100312032 in words is "twelve trillion, one billion, one hundred million, three hundred twelve thousand, thirty-two".