12122131100 has 144 divisors (see below), whose sum is σ = 28198716000. Its totient is φ = 4510080000.

The previous prime is 12122131069. The next prime is 12122131139. The reversal of 12122131100 is 113122121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34733726 + ... + 34734074.

Almost surely, 2^12122131100 is an apocalyptic number.

12122131100 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 12122131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14099358000).

12122131100 is an abundant number, since it is smaller than the sum of its proper divisors (16076584900).

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

12122131100 is a wasteful number, since it uses less digits than its factorization.

12122131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 657 counting only the distinct ones).

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

Adding to 12122131100 its reverse (113122121), we get a palindrome (12235253221).

It can be divided in two parts, 1212 and 2131100, that added together give a palindrome (2132312).

The spelling of 12122131100 in words is "twelve billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred".