120112110002112 has 112 divisors (see below), whose sum is σ = 318665116267680. Its totient is φ = 39927987044352.

The previous prime is 120112110002107. The next prime is 120112110002113. The reversal of 120112110002112 is 211200011211021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120112110002091 and 120112110002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112110002113) 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, 473170968 + ... + 473424744.

It is an arithmetic number, because the mean of its divisors is an integer number (2845224252390).

Almost surely, 2^{120112110002112} is an apocalyptic number.

120112110002112 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 120112110002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159332558133840).

120112110002112 is an abundant number, since it is smaller than the sum of its proper divisors (198553006265568).

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

120112110002112 is a wasteful number, since it uses less digits than its factorization.

120112110002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260518 (or 260508 counting only the distinct ones).

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

Adding to 120112110002112 its reverse (211200011211021), we get a palindrome (331312121213133).

The spelling of 120112110002112 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred ten million, two thousand, one hundred twelve".