12111212120 has 128 divisors (see below), whose sum is σ = 32983372800. Its totient is φ = 3912454656.

The previous prime is 12111212111. The next prime is 12111212149. The reversal of 12111212120 is 2121211121.

12111212120 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 12111212095 and 12111212104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 417446 + ... + 445514.

It is an arithmetic number, because the mean of its divisors is an integer number (257682600).

Almost surely, 2^12111212120 is an apocalyptic number.

12111212120 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 12111212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16491686400).

12111212120 is an abundant number, since it is smaller than the sum of its proper divisors (20872160680).

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

12111212120 is a wasteful number, since it uses less digits than its factorization.

12111212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28177 (or 28173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12111212120 its reverse (2121211121), we get a palindrome (14232423241).

Subtracting from 12111212120 its reverse (2121211121), we obtain a palindrome (9990000999).

The spelling of 12111212120 in words is "twelve billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty".