121112112 has 80 divisors (see below), whose sum is σ = 356191488. Its totient is φ = 35101440.

The previous prime is 121112111. The next prime is 121112113. The reversal of 121112112 is 211211121.

It is an interprime number because it is at equal distance from previous prime (121112111) and next prime (121112113).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 not an unprimeable number, because it can be changed into a prime (121112111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7158 + ... + 17130.

Almost surely, 2^121112112 is an apocalyptic number.

121112112 is a gapful number since it is divisible by the number (12) 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 121112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178095744).

121112112 is an abundant number, since it is smaller than the sum of its proper divisors (235079376).

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

121112112 is a wasteful number, since it uses less digits than its factorization.

121112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10018 (or 10012 counting only the distinct ones).

The product of its digits is 8, while the sum is 12.

The square root of 121112112 is about 11005.0948201276. The cubic root of 121112112 is about 494.7614563310.

Adding to 121112112 its reverse (211211121), we get a palindrome (332323233).

Subtracting 121112112 from its reverse (211211121), we obtain a palindrome (90099009).

The spelling of 121112112 in words is "one hundred twenty-one million, one hundred twelve thousand, one hundred twelve".