112211120 has 80 divisors (see below), whose sum is σ = 300361728. Its totient is φ = 38188800.

The previous prime is 112211117. The next prime is 112211149. The reversal of 112211120 is 21112211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83897 + ... + 85223.

Almost surely, 2^112211120 is an apocalyptic number.

112211120 is a gapful number since it is divisible by the number (10) 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 112211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150180864).

112211120 is an abundant number, since it is smaller than the sum of its proper divisors (188150608).

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

112211120 is a wasteful number, since it uses less digits than its factorization.

112211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 112211120 is about 10592.9750306512. The cubic root of 112211120 is about 482.3311372724.

Adding to 112211120 its reverse (21112211), we get a palindrome (133323331).

The spelling of 112211120 in words is "one hundred twelve million, two hundred eleven thousand, one hundred twenty".