12302132132100 has 288 divisors, whose sum is σ = 37783502701056. Its totient is φ = 3079777075200.

The previous prime is 12302132132057. The next prime is 12302132132149. The reversal of 12302132132100 is 123123120321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4605813765 + ... + 4605816435.

It is an arithmetic number, because the mean of its divisors is an integer number (131192717712).

Almost surely, 2^{12302132132100} is an apocalyptic number.

12302132132100 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 12302132132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18891751350528).

12302132132100 is an abundant number, since it is smaller than the sum of its proper divisors (25481370568956).

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

12302132132100 is a wasteful number, since it uses less digits than its factorization.

12302132132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4655 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12302132132100 its reverse (123123120321), we get a palindrome (12425255252421).

The spelling of 12302132132100 in words is "twelve trillion, three hundred two billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred".