12002313203100 has 648 divisors, whose sum is σ = 43578666950000. Its totient is φ = 2753301196800.

The previous prime is 12002313203071. The next prime is 12002313203137. The reversal of 12002313203100 is 130231320021.

12002313203100 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 31 + 320 + 310 + 0 = 666.

It is a super-3 number, since 3×12002313203100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 215 ways as a sum of consecutive naturals, for example, 2087719026 + ... + 2087724774.

Almost surely, 2^{12002313203100} is an apocalyptic number.

12002313203100 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 12002313203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21789333475000).

12002313203100 is an abundant number, since it is smaller than the sum of its proper divisors (31576353746900).

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

12002313203100 is a wasteful number, since it uses less digits than its factorization.

12002313203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12002313203100 its reverse (130231320021), we get a palindrome (12132544523121).

The spelling of 12002313203100 in words is "twelve trillion, two billion, three hundred thirteen million, two hundred three thousand, one hundred".