121212112 has 80 divisors (see below), whose sum is σ = 282303360. Its totient is φ = 49319424.

The previous prime is 121212103. The next prime is 121212127. The reversal of 121212112 is 211212121.

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 a junction number, because it is equal to n+sod(n) for n = 121212092 and 121212101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217338 + ... + 217894.

It is an arithmetic number, because the mean of its divisors is an integer number (3528792).

Almost surely, 2^121212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141151680).

121212112 is an abundant number, since it is smaller than the sum of its proper divisors (161091248).

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

121212112 is a wasteful number, since it uses less digits than its factorization.

121212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its digits is 16, while the sum is 13.

The square root of 121212112 is about 11009.6372328974. The cubic root of 121212112 is about 494.8975906225.

121212112 divided by its product of digits (16) gives a palindrome (7575757).

Adding to 121212112 its reverse (211212121), we get a palindrome (332424233).

Subtracting 121212112 from its reverse (211212121), we obtain a palindrome (90000009).

It can be divided in two parts, 12121 and 2112, that multiplied together give a palindrome (25599552).

The spelling of 121212112 in words is "one hundred twenty-one million, two hundred twelve thousand, one hundred twelve".