112112112211220 has 96 divisors (see below), whose sum is σ = 259127040332160. Its totient is φ = 40404848476160.

The previous prime is 112112112211213. The next prime is 112112112211259. The reversal of 112112112211220 is 22112211211211.

It is a happy number.

It is a super-2 number, since 2×112112112211220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112112112211192 and 112112112211201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445837844 + ... + 446089236.

It is an arithmetic number, because the mean of its divisors is an integer number (2699240003460).

Almost surely, 2^{112112112211220} is an apocalyptic number.

112112112211220 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 112112112211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129563520166080).

112112112211220 is an abundant number, since it is smaller than the sum of its proper divisors (147014928120940).

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

112112112211220 is a wasteful number, since it uses less digits than its factorization.

112112112211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269465 (or 269463 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 112112112211220 its reverse (22112211211211), we get a palindrome (134224323422431).

It can be divided in two parts, 11211211 and 2211220, that added together give a palindrome (13422431).

The spelling of 112112112211220 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twelve million, two hundred eleven thousand, two hundred twenty".