122121202122 has 80 divisors (see below), whose sum is σ = 276651650880. Its totient is φ = 40260601152.

The previous prime is 122121202121. The next prime is 122121202153. The reversal of 122121202122 is 221202121221.

It is a happy number.

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 = 122121202095 and 122121202104.

It is not an unprimeable number, because it can be changed into a prime (122121202121) 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 39 ways as a sum of consecutive naturals, for example, 11209654 + ... + 11220542.

It is an arithmetic number, because the mean of its divisors is an integer number (3458145636).

Almost surely, 2^122121202122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122121202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138325825440).

122121202122 is an abundant number, since it is smaller than the sum of its proper divisors (154530448758).

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

122121202122 is a wasteful number, since it uses less digits than its factorization.

122121202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11657 (or 11648 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122121202122 its reverse (221202121221), we get a palindrome (343323323343).

The spelling of 122121202122 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty-two".