112120211112 has 384 divisors, whose sum is σ = 376455287040. Its totient is φ = 27072921600.

The previous prime is 112120211107. The next prime is 112120211143. The reversal of 112120211112 is 211112021211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112120211091 and 112120211100.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 23351112 + ... + 23355912.

It is an arithmetic number, because the mean of its divisors is an integer number (980352310).

Almost surely, 2^112120211112 is an apocalyptic number.

112120211112 is a gapful number since it is divisible by the number (12) 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 112120211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188227643520).

112120211112 is an abundant number, since it is smaller than the sum of its proper divisors (264335075928).

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

112120211112 is a wasteful number, since it uses less digits than its factorization.

112120211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112120211112 its reverse (211112021211), we get a palindrome (323232232323).

The spelling of 112120211112 in words is "one hundred twelve billion, one hundred twenty million, two hundred eleven thousand, one hundred twelve".