122001211112 has 96 divisors (see below), whose sum is σ = 255861782400. Its totient is φ = 54486432000.

The previous prime is 122001211099. The next prime is 122001211153. The reversal of 122001211112 is 211112100221.

122001211112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16131812 + ... + 16139372.

It is an arithmetic number, because the mean of its divisors is an integer number (2665226900).

Almost surely, 2^122001211112 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 122001211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127930891200).

122001211112 is an abundant number, since it is smaller than the sum of its proper divisors (133860571288).

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

122001211112 is a wasteful number, since it uses less digits than its factorization.

122001211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879 (or 7864 counting only the distinct ones).

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

Adding to 122001211112 its reverse (211112100221), we get a palindrome (333113311333).

The spelling of 122001211112 in words is "one hundred twenty-two billion, one million, two hundred eleven thousand, one hundred twelve".