12121111112 has 48 divisors (see below), whose sum is σ = 26450515980. Its totient is φ = 5185495040.

The previous prime is 12121111097. The next prime is 12121111117. The reversal of 12121111112 is 21111112121.

12121111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12066143716 + 54967396 = 109846^2 + 7414^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (12121111117) 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 11 ways as a sum of consecutive naturals, for example, 351833 + ... + 384744.

Almost surely, 2^12121111112 is an apocalyptic number.

It is an amenable number.

12121111112 is an abundant number, since it is smaller than the sum of its proper divisors (14329404868).

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

12121111112 is a wasteful number, since it uses less digits than its factorization.

12121111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736622 (or 736607 counting only the distinct ones).

The product of its digits is 8, while the sum is 14.

Adding to 12121111112 its reverse (21111112121), we get a palindrome (33232223233).

It can be divided in two parts, 121 and 21111112, that multiplied together give a palindrome (2554444552).

The spelling of 12121111112 in words is "twelve billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twelve".