122011122010112 has 96 divisors (see below), whose sum is σ = 254582628955200. Its totient is φ = 58350191099904.

The previous prime is 122011122010109. The next prime is 122011122010123. The reversal of 122011122010112 is 211010221110221.

122011122010112 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 7 ways as a sum of consecutive naturals, for example, 1141229363 + ... + 1141336269.

It is an arithmetic number, because the mean of its divisors is an integer number (2651902384950).

Almost surely, 2^{122011122010112} 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 122011122010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127291314477600).

122011122010112 is an abundant number, since it is smaller than the sum of its proper divisors (132571506945088).

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

122011122010112 is a wasteful number, since it uses less digits than its factorization.

122011122010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131181 (or 131161 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122011122010112 its reverse (211010221110221), we get a palindrome (333021343120333).

The spelling of 122011122010112 in words is "one hundred twenty-two trillion, eleven billion, one hundred twenty-two million, ten thousand, one hundred twelve".