12121100112 has 80 divisors (see below), whose sum is σ = 34188115392. Its totient is φ = 3669980160.

The previous prime is 12121100111. The next prime is 12121100129. The reversal of 12121100112 is 21100112121.

12121100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121100111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 665268 + ... + 683244.

Almost surely, 2^12121100112 is an apocalyptic number.

12121100112 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 12121100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17094057696).

12121100112 is an abundant number, since it is smaller than the sum of its proper divisors (22067015280).

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

12121100112 is a wasteful number, since it uses less digits than its factorization.

12121100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19276 (or 19270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12121100112 its reverse (21100112121), we get a palindrome (33221212233).

It can be divided in two parts, 121 and 21100112, that multiplied together give a palindrome (2553113552).

The spelling of 12121100112 in words is "twelve billion, one hundred twenty-one million, one hundred thousand, one hundred twelve".