112221111122120 has 768 divisors, whose sum is σ = 357914101870080. Its totient is φ = 30577231872000.

The previous prime is 112221111122093. The next prime is 112221111122123. The reversal of 112221111122120 is 21221111122211.

It is a happy number.

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 = 112221111122092 and 112221111122101.

It is not an unprimeable number, because it can be changed into a prime (112221111122123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2139270932 + ... + 2139323388.

It is an arithmetic number, because the mean of its divisors is an integer number (466033986810).

Almost surely, 2^{112221111122120} is an apocalyptic number.

112221111122120 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 112221111122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178957050935040).

112221111122120 is an abundant number, since it is smaller than the sum of its proper divisors (245692990747960).

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

112221111122120 is a wasteful number, since it uses less digits than its factorization.

112221111122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52646 (or 52619 counting only the distinct ones).

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

Adding to 112221111122120 its reverse (21221111122211), we get a palindrome (133442222244331).

Subtracting from 112221111122120 its reverse (21221111122211), we obtain a palindrome (90999999999909).

The spelling of 112221111122120 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty".