12312112100 has 144 divisors (see below), whose sum is σ = 28781282880. Its totient is φ = 4557888000.

The previous prime is 12312112093. The next prime is 12312112103. The reversal of 12312112100 is 121121321.

It is not an unprimeable number, because it can be changed into a prime (12312112103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15927314 + ... + 15928086.

It is an arithmetic number, because the mean of its divisors is an integer number (199870020).

Almost surely, 2^12312112100 is an apocalyptic number.

12312112100 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 12312112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14390641440).

12312112100 is an abundant number, since it is smaller than the sum of its proper divisors (16469170780).

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

12312112100 is a wasteful number, since it uses less digits than its factorization.

12312112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12312112100 its reverse (121121321), we get a palindrome (12433233421).

The spelling of 12312112100 in words is "twelve billion, three hundred twelve million, one hundred twelve thousand, one hundred".