122201020112112 has 160 divisors (see below), whose sum is σ = 362969170272000. Its totient is φ = 39316953312000.

The previous prime is 122201020112051. The next prime is 122201020112113. The reversal of 122201020112112 is 211211020102221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201020112113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39228339 + ... + 42228717.

It is an arithmetic number, because the mean of its divisors is an integer number (2268557314200).

Almost surely, 2^{122201020112112} is an apocalyptic number.

122201020112112 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 122201020112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181484585136000).

122201020112112 is an abundant number, since it is smaller than the sum of its proper divisors (240768150159888).

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

122201020112112 is a wasteful number, since it uses less digits than its factorization.

122201020112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003676 (or 3003664 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122201020112112 its reverse (211211020102221), we get a palindrome (333412040214333).

The spelling of 122201020112112 in words is "one hundred twenty-two trillion, two hundred one billion, twenty million, one hundred twelve thousand, one hundred twelve".