12303100303100 has 288 divisors, whose sum is σ = 29040616281600. Its totient is φ = 4509021081600.

The previous prime is 12303100303093. The next prime is 12303100303141. The reversal of 12303100303100 is 130300130321.

It is a super-2 number, since 2×12303100303100² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3833934296 + ... + 3833937504.

It is an arithmetic number, because the mean of its divisors is an integer number (100835473200).

Almost surely, 2^{12303100303100} is an apocalyptic number.

12303100303100 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 12303100303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520308140800).

12303100303100 is an abundant number, since it is smaller than the sum of its proper divisors (16737515978500).

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

12303100303100 is a wasteful number, since it uses less digits than its factorization.

12303100303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 12303100303100 its reverse (130300130321), we get a palindrome (12433400433421).

The spelling of 12303100303100 in words is "twelve trillion, three hundred three billion, one hundred million, three hundred three thousand, one hundred".