122110002112 has 112 divisors (see below), whose sum is σ = 291884160960. Its totient is φ = 49574633472.

The previous prime is 122110002107. The next prime is 122110002163. The reversal of 122110002112 is 211200011221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 122110002092 and 122110002101.

It is a congruent number.

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, 599908 + ... + 777244.

It is an arithmetic number, because the mean of its divisors is an integer number (2606108580).

Almost surely, 2^122110002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122110002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145942080480).

122110002112 is an abundant number, since it is smaller than the sum of its proper divisors (169774158848).

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

122110002112 is a wasteful number, since it uses less digits than its factorization.

122110002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177438 (or 177428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122110002112 its reverse (211200011221), we get a palindrome (333310013333).

The spelling of 122110002112 in words is "one hundred twenty-two billion, one hundred ten million, two thousand, one hundred twelve".