111212112 has 80 divisors (see below), whose sum is σ = 314836992. Its totient is φ = 33548160.

The previous prime is 111212099. The next prime is 111212117. The reversal of 111212112 is 211212111.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (111212117) 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, 182913 + ... + 183519.

Almost surely, 2^111212112 is an apocalyptic number.

111212112 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 111212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157418496).

111212112 is an abundant number, since it is smaller than the sum of its proper divisors (203624880).

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

111212112 is a wasteful number, since it uses less digits than its factorization.

111212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

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

The square root of 111212112 is about 10545.7153384680. The cubic root of 111212112 is about 480.8954811421.

Adding to 111212112 its reverse (211212111), we get a palindrome (322424223).

Subtracting 111212112 from its reverse (211212111), we obtain a palindrome (99999999).

The spelling of 111212112 in words is "one hundred eleven million, two hundred twelve thousand, one hundred twelve".