121110212112 has 80 divisors (see below), whose sum is σ = 321638104320. Its totient is φ = 39240585216.

The previous prime is 121110212077. The next prime is 121110212207. The reversal of 121110212112 is 211212011121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121110212091 and 121110212100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812448 + ... + 1878080.

It is an arithmetic number, because the mean of its divisors is an integer number (4020476304).

Almost surely, 2^121110212112 is an apocalyptic number.

121110212112 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 121110212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160819052160).

121110212112 is an abundant number, since it is smaller than the sum of its proper divisors (200527892208).

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

121110212112 is a wasteful number, since it uses less digits than its factorization.

121110212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66720 (or 66714 counting only the distinct ones).

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

Adding to 121110212112 its reverse (211212011121), we get a palindrome (332322223233).

The spelling of 121110212112 in words is "one hundred twenty-one billion, one hundred ten million, two hundred twelve thousand, one hundred twelve".