122201201322200 has 576 divisors, whose sum is σ = 400810316497920. Its totient is φ = 34024620672000.

The previous prime is 122201201322173. The next prime is 122201201322229. The reversal of 122201201322200 is 2223102102221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42036959 + ... + 44849841.

It is an arithmetic number, because the mean of its divisors is an integer number (695851243920).

Almost surely, 2^{122201201322200} is an apocalyptic number.

122201201322200 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 122201201322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200405158248960).

122201201322200 is an abundant number, since it is smaller than the sum of its proper divisors (278609115175720).

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

122201201322200 is a wasteful number, since it uses less digits than its factorization.

122201201322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812968 (or 2812952 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122201201322200 its reverse (2223102102221), we get a palindrome (124424303424421).

The spelling of 122201201322200 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred one million, three hundred twenty-two thousand, two hundred".