12002003103112 has 192 divisors, whose sum is σ = 27445867424640. Its totient is φ = 4862156544000.

The previous prime is 12002003103089. The next prime is 12002003103119. The reversal of 12002003103112 is 21130130020021.

12002003103112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12002003103112² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12002003103119) 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, 1904774362 + ... + 1904780662.

It is an arithmetic number, because the mean of its divisors is an integer number (142947226170).

Almost surely, 2^{12002003103112} 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 12002003103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13722933712320).

12002003103112 is an abundant number, since it is smaller than the sum of its proper divisors (15443864321528).

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

12002003103112 is a wasteful number, since it uses less digits than its factorization.

12002003103112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9900 (or 9877 counting only the distinct ones).

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

Adding to 12002003103112 its reverse (21130130020021), we get a palindrome (33132133123133).

The spelling of 12002003103112 in words is "twelve trillion, two billion, three million, one hundred three thousand, one hundred twelve".