12123200112 has 80 divisors (see below), whose sum is σ = 31935098880. Its totient is φ = 3961847296.

The previous prime is 12123200093. The next prime is 12123200119. The reversal of 12123200112 is 21100232121.

It is a junction number, because it is equal to n+sod(n) for n = 12123200091 and 12123200100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123200119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1079068 + ... + 1090244.

It is an arithmetic number, because the mean of its divisors is an integer number (399188736).

Almost surely, 2^12123200112 is an apocalyptic number.

12123200112 is a gapful number since it is divisible by the number (12) 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 12123200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15967549440).

12123200112 is an abundant number, since it is smaller than the sum of its proper divisors (19811898768).

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

12123200112 is a wasteful number, since it uses less digits than its factorization.

12123200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11630 (or 11624 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12123200112 its reverse (21100232121), we get a palindrome (33223432233).

The spelling of 12123200112 in words is "twelve billion, one hundred twenty-three million, two hundred thousand, one hundred twelve".