121111222112 has 96 divisors (see below), whose sum is σ = 266230994400. Its totient is φ = 53896347648.

The previous prime is 121111222087. The next prime is 121111222117. The reversal of 121111222112 is 211222111121.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111222117) 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, 5870888 + ... + 5891480.

It is an arithmetic number, because the mean of its divisors is an integer number (2773239525).

Almost surely, 2^121111222112 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 121111222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133115497200).

121111222112 is an abundant number, since it is smaller than the sum of its proper divisors (145119772288).

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

121111222112 is a wasteful number, since it uses less digits than its factorization.

121111222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21208 (or 21200 counting only the distinct ones).

The product of its digits is 32, while the sum is 17.

Adding to 121111222112 its reverse (211222111121), we get a palindrome (332333333233).

The spelling of 121111222112 in words is "one hundred twenty-one billion, one hundred eleven million, two hundred twenty-two thousand, one hundred twelve".