121114112 has 80 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 50731008.

The previous prime is 121114109. The next prime is 121114129. The reversal of 121114112 is 211411121.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168089 + ... + 168807.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2^121114112 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 121114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

121114112 is an abundant number, since it is smaller than the sum of its proper divisors (161724928).

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

121114112 is an frugal number, since it uses more digits than its factorization.

121114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 775 counting only the distinct ones).

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

The square root of 121114112 is about 11005.1856867569. The cubic root of 121114112 is about 494.7641797510.

Adding to 121114112 its reverse (211411121), we get a palindrome (332525233).

The spelling of 121114112 in words is "one hundred twenty-one million, one hundred fourteen thousand, one hundred twelve".