112121120112 has 80 divisors (see below), whose sum is σ = 295278720000. Its totient is φ = 36650045952.

The previous prime is 112121120101. The next prime is 112121120113. The reversal of 112121120112 is 211021121211.

It is a happy number.

It is a super-2 number, since 2×112121120112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112121120091 and 112121120100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121120113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1109889 + ... + 1206687.

It is an arithmetic number, because the mean of its divisors is an integer number (3690984000).

Almost surely, 2^112121120112 is an apocalyptic number.

112121120112 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 112121120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147639360000).

112121120112 is an abundant number, since it is smaller than the sum of its proper divisors (183157599888).

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

112121120112 is a wasteful number, since it uses less digits than its factorization.

112121120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97278 (or 97272 counting only the distinct ones).

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

Adding to 112121120112 its reverse (211021121211), we get a palindrome (323142241323).

The spelling of 112121120112 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twelve".