112111220 has 72 divisors (see below), whose sum is σ = 261477720. Its totient is φ = 40335360.

The previous prime is 112111213. The next prime is 112111231. The reversal of 112111220 is 22111211.

It can be written as a sum of positive squares in 12 ways, for example, as 70997476 + 41113744 = 8426^2 + 6412^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138176 + ... + 138984.

It is an arithmetic number, because the mean of its divisors is an integer number (3631635).

Almost surely, 2^112111220 is an apocalyptic number.

112111220 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 112111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130738860).

112111220 is an abundant number, since it is smaller than the sum of its proper divisors (149366500).

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

112111220 is a wasteful number, since it uses less digits than its factorization.

112111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 870 counting only the distinct ones).

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

The square root of 112111220 is about 10588.2585914776. The cubic root of 112111220 is about 482.1879572052.

Adding to 112111220 its reverse (22111211), we get a palindrome (134222431).

Subtracting from 112111220 its reverse (22111211), we obtain a palindrome (90000009).

It can be divided in two parts, 1121 and 11220, that multiplied together give a triangular number (12577620 = T₅₀₁₅).

The spelling of 112111220 in words is "one hundred twelve million, one hundred eleven thousand, two hundred twenty".