122201202221120 has 224 divisors, whose sum is σ = 320563468982016. Its totient is φ = 44000422502400.

The previous prime is 122201202221099. The next prime is 122201202221143. The reversal of 122201202221120 is 21122202102221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122201202221092 and 122201202221101.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5147252450 + ... + 5147276190.

Almost surely, 2^{122201202221120} is an apocalyptic number.

122201202221120 is a gapful number since it is divisible by the number (10) 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 122201202221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160281734491008).

122201202221120 is an abundant number, since it is smaller than the sum of its proper divisors (198362266760896).

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

122201202221120 is a wasteful number, since it uses less digits than its factorization.

122201202221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38069 (or 38059 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122201202221120 its reverse (21122202102221), we get a palindrome (143323404323341).

The spelling of 122201202221120 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty".