112113121120 has 432 divisors, whose sum is σ = 364758783984. Its totient is φ = 32252774400.

The previous prime is 112113121111. The next prime is 112113121157. The reversal of 112113121120 is 21121311211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112113121094 and 112113121103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12327775 + ... + 12336865.

It is an arithmetic number, because the mean of its divisors is an integer number (844349037).

Almost surely, 2^112113121120 is an apocalyptic number.

112113121120 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 112113121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182379391992).

112113121120 is an abundant number, since it is smaller than the sum of its proper divisors (252645662864).

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

112113121120 is a wasteful number, since it uses less digits than its factorization.

112113121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9155 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 112113121120 its reverse (21121311211), we get a palindrome (133234432331).

The spelling of 112113121120 in words is "one hundred twelve billion, one hundred thirteen million, one hundred twenty-one thousand, one hundred twenty".