112112121220 has 96 divisors (see below), whose sum is σ = 272091415680. Its totient is φ = 38349527040.

The previous prime is 112112121211. The next prime is 112112121223. The reversal of 112112121220 is 22121211211.

It is a junction number, because it is equal to n+sod(n) for n = 112112121194 and 112112121203.

It is not an unprimeable number, because it can be changed into a prime (112112121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8142582 + ... + 8156338.

It is an arithmetic number, because the mean of its divisors is an integer number (2834285580).

Almost surely, 2^112112121220 is an apocalyptic number.

112112121220 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 112112121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136045707840).

112112121220 is an abundant number, since it is smaller than the sum of its proper divisors (159979294460).

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

112112121220 is a wasteful number, since it uses less digits than its factorization.

112112121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15973 (or 15971 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112112121220 its reverse (22121211211), we get a palindrome (134233332431).

It can be divided in two parts, 112112 and 121220, that added together give a palindrome (233332).

The spelling of 112112121220 in words is "one hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty".