112000112120112 has 120 divisors (see below), whose sum is σ = 299697310049280. Its totient is φ = 36040885036800.

The previous prime is 112000112120101. The next prime is 112000112120131. The reversal of 112000112120112 is 211021211000211.

It is a happy number.

It is a super-2 number, since 2×112000112120112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112000112120091 and 112000112120100.

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, 288800737 + ... + 289188287.

It is an arithmetic number, because the mean of its divisors is an integer number (2497477583744).

Almost surely, 2^{112000112120112} is an apocalyptic number.

112000112120112 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 112000112120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149848655024640).

112000112120112 is an abundant number, since it is smaller than the sum of its proper divisors (187697197929168).

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

112000112120112 is a wasteful number, since it uses less digits than its factorization.

112000112120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394779 (or 394744 counting only the distinct ones).

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

Adding to 112000112120112 its reverse (211021211000211), we get a palindrome (323021323120323).

The spelling of 112000112120112 in words is "one hundred twelve trillion, one hundred twelve million, one hundred twenty thousand, one hundred twelve".