122201211001122 has 96 divisors (see below), whose sum is σ = 293884327324224. Its totient is φ = 36385144329600.

The previous prime is 122201211001087. The next prime is 122201211001123. The reversal of 122201211001122 is 221100112102221.

122201211001122 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 122201211001095 and 122201211001104.

It is not an unprimeable number, because it can be changed into a prime (122201211001123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6095908 + ... + 16779824.

It is an arithmetic number, because the mean of its divisors is an integer number (3061295076294).

Almost surely, 2^{122201211001122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122201211001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146942163662112).

122201211001122 is an abundant number, since it is smaller than the sum of its proper divisors (171683116323102).

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

122201211001122 is a wasteful number, since it uses less digits than its factorization.

122201211001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10684944 (or 10684941 counting only the distinct ones).

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

Adding to 122201211001122 its reverse (221100112102221), we get a palindrome (343301323103343).

The spelling of 122201211001122 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred eleven million, one thousand, one hundred twenty-two".