12331504504100 has 72 divisors (see below), whose sum is σ = 27034564677120. Its totient is φ = 4881928308480.

The previous prime is 12331504503889. The next prime is 12331504504133. The reversal of 12331504504100 is 140540513321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17777384 + ... + 18458016.

It is an arithmetic number, because the mean of its divisors is an integer number (375480064960).

Almost surely, 2^{12331504504100} is an apocalyptic number.

12331504504100 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 12331504504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517282338560).

12331504504100 is an abundant number, since it is smaller than the sum of its proper divisors (14703060173020).

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

12331504504100 is a wasteful number, since it uses less digits than its factorization.

12331504504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682509 (or 682502 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 12331504504100 in words is "twelve trillion, three hundred thirty-one billion, five hundred four million, five hundred four thousand, one hundred".