12302332103100 has 576 divisors, whose sum is σ = 41010375168000. Its totient is φ = 2820605706240.

The previous prime is 12302332103053. The next prime is 12302332103123. The reversal of 12302332103100 is 130123320321.

It is a super-2 number, since 2×12302332103100² (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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2646229576 + ... + 2646234224.

It is an arithmetic number, because the mean of its divisors is an integer number (71198568000).

Almost surely, 2^{12302332103100} is an apocalyptic number.

12302332103100 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 12302332103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20505187584000).

12302332103100 is an abundant number, since it is smaller than the sum of its proper divisors (28708043064900).

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

12302332103100 is a wasteful number, since it uses less digits than its factorization.

12302332103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12302332103100 its reverse (130123320321), we get a palindrome (12432455423421).

It can be divided in two parts, 1230233 and 2103100, that added together give a palindrome (3333333).

The spelling of 12302332103100 in words is "twelve trillion, three hundred two billion, three hundred thirty-two million, one hundred three thousand, one hundred".