122201121210220 has 192 divisors, whose sum is σ = 297836143516800. Its totient is φ = 41711124234240.

The previous prime is 122201121210209. The next prime is 122201121210241. The reversal of 122201121210220 is 22012121102221.

It is a super-2 number, since 2×122201121210220² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190840951 + ... + 191480209.

It is an arithmetic number, because the mean of its divisors is an integer number (1551229914150).

Almost surely, 2^{122201121210220} is an apocalyptic number.

122201121210220 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 122201121210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148918071758400).

122201121210220 is an abundant number, since it is smaller than the sum of its proper divisors (175635022306580).

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

122201121210220 is a wasteful number, since it uses less digits than its factorization.

122201121210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640068 (or 640066 counting only the distinct ones).

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

Adding to 122201121210220 its reverse (22012121102221), we get a palindrome (144213242312441).

The spelling of 122201121210220 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred twenty-one million, two hundred ten thousand, two hundred twenty".