12001313012000 has 192 divisors, whose sum is σ = 31879071885024. Its totient is φ = 4414006886400.

The previous prime is 12001313011993. The next prime is 12001313012027. The reversal of 12001313012000 is 21031310021.

It can be written as a sum of positive squares in 16 ways, for example, as 260520409744 + 11740792602256 = 510412^2 + 3426484^2 .

It is a super-3 number, since 3×12001313012000³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12914984 + ... + 13813016.

Almost surely, 2^{12001313012000} is an apocalyptic number.

12001313012000 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 12001313012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15939535942512).

12001313012000 is an abundant number, since it is smaller than the sum of its proper divisors (19877758873024).

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

12001313012000 is a wasteful number, since it uses less digits than its factorization.

12001313012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898328 (or 898310 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12001313012000 its reverse (21031310021), we get a palindrome (12022344322021).

The spelling of 12001313012000 in words is "twelve trillion, one billion, three hundred thirteen million, twelve thousand".