112110122120 has 64 divisors (see below), whose sum is σ = 261229374000. Its totient is φ = 43250679808.

The previous prime is 112110122101. The next prime is 112110122141. The reversal of 112110122120 is 21221011211.

112110122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 13736308804 + 98373813316 = 117202^2 + 313646^2 .

It is a super-2 number, since 2×112110122120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112110122095 and 112110122104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025624 + ... + 1129656.

Almost surely, 2^112110122120 is an apocalyptic number.

112110122120 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 112110122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130614687000).

112110122120 is an abundant number, since it is smaller than the sum of its proper divisors (149119251880).

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

112110122120 is a wasteful number, since it uses less digits than its factorization.

112110122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105002 (or 104998 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112110122120 its reverse (21221011211), we get a palindrome (133331133331).

The spelling of 112110122120 in words is "one hundred twelve billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty".