122122012002112 has 224 divisors, whose sum is σ = 265559895843840. Its totient is φ = 55549834813440.

The previous prime is 122122012002077. The next prime is 122122012002113. The reversal of 122122012002112 is 211200210221221.

It is a self number, because there is not a number n which added to its sum of digits gives 122122012002112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122012002113) 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, 2101573314 + ... + 2101631422.

Almost surely, 2^{122122012002112} 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 122122012002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132779947921920).

122122012002112 is an abundant number, since it is smaller than the sum of its proper divisors (143437883841728).

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

122122012002112 is a wasteful number, since it uses less digits than its factorization.

122122012002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59049 (or 59039 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122122012002112 its reverse (211200210221221), we get a palindrome (333322222223333).

The spelling of 122122012002112 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, twelve million, two thousand, one hundred twelve".