112112110100000 has 144 divisors (see below), whose sum is σ = 276770399435712. Its totient is φ = 44700636000000.

The previous prime is 112112110099961. The next prime is 112112110100051. The reversal of 112112110100000 is 1011211211.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29297555 + ... + 32902445.

It is an arithmetic number, because the mean of its divisors is an integer number (1922016662748).

Almost surely, 2^{112112110100000} is an apocalyptic number.

112112110100000 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 112112110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138385199717856).

112112110100000 is an abundant number, since it is smaller than the sum of its proper divisors (164658289335712).

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

112112110100000 is an frugal number, since it uses more digits than its factorization.

112112110100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605237 (or 3605209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 112112110100000 its reverse (1011211211), we get a palindrome (112113121311211).

It can be divided in two parts, 1121 and 12110100000, that added together give a palindrome (12110101121).

The spelling of 112112110100000 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred ten million, one hundred thousand".