121112120112 has 120 divisors (see below), whose sum is σ = 321055946640. Its totient is φ = 39338265600.

The previous prime is 121112120089. The next prime is 121112120149. The reversal of 121112120112 is 211021211121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121112120091 and 121112120100.

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, 19465162 + ... + 19471382.

It is an arithmetic number, because the mean of its divisors is an integer number (2675466222).

Almost surely, 2^121112120112 is an apocalyptic number.

121112120112 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 121112120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160527973320).

121112120112 is an abundant number, since it is smaller than the sum of its proper divisors (199943826528).

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

121112120112 is a wasteful number, since it uses less digits than its factorization.

121112120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6463 (or 6396 counting only the distinct ones).

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

Adding to 121112120112 its reverse (211021211121), we get a palindrome (332133331233).

The spelling of 121112120112 in words is "one hundred twenty-one billion, one hundred twelve million, one hundred twenty thousand, one hundred twelve".