12001001012 has 288 divisors, whose sum is σ = 30840082560. Its totient is φ = 4002324480.

The previous prime is 12001001011. The next prime is 12001001053. The reversal of 12001001012 is 21010010021.

12001001012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001001011) 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 95 ways as a sum of consecutive naturals, for example, 42406223 + ... + 42406505.

It is an arithmetic number, because the mean of its divisors is an integer number (107083620).

Almost surely, 2^12001001012 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 12001001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420041280).

12001001012 is an abundant number, since it is smaller than the sum of its proper divisors (18839081548).

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

12001001012 is a wasteful number, since it uses less digits than its factorization.

12001001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12001001012 its reverse (21010010021), we get a palindrome (33011011033).

Subtracting 12001001012 from its reverse (21010010021), we obtain a palindrome (9009009009).

The spelling of 12001001012 in words is "twelve billion, one million, one thousand, twelve".