122201222112112 has 120 divisors (see below), whose sum is σ = 280341849001088. Its totient is φ = 51259103976960.

The previous prime is 122201222112103. The next prime is 122201222112113. The reversal of 122201222112112 is 211211222102221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201222112113) by changing a digit.

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, 90868513 + ... + 92203519.

Almost surely, 2^{122201222112112} 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 122201222112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140170924500544).

122201222112112 is an abundant number, since it is smaller than the sum of its proper divisors (158140626888976).

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

122201222112112 is a wasteful number, since it uses less digits than its factorization.

122201222112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338687 (or 1338670 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 122201222112112 its reverse (211211222102221), we get a palindrome (333412444214333).

The spelling of 122201222112112 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twelve".