122210202020200 has 384 divisors, whose sum is σ = 353233748736000. Its totient is φ = 38388276864000.

The previous prime is 122210202020189. The next prime is 122210202020209. The reversal of 122210202020200 is 2020202012221.

It is a super-2 number, since 2×122210202020200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122210202020209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114994861 + ... + 116052739.

It is an arithmetic number, because the mean of its divisors is an integer number (919879554000).

Almost surely, 2^{122210202020200} is an apocalyptic number.

122210202020200 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 122210202020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176616874368000).

122210202020200 is an abundant number, since it is smaller than the sum of its proper divisors (231023546715800).

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

122210202020200 is a wasteful number, since it uses less digits than its factorization.

122210202020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058065 (or 1058056 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122210202020200 its reverse (2020202012221), we get a palindrome (124230404032421).

The spelling of 122210202020200 in words is "one hundred twenty-two trillion, two hundred ten billion, two hundred two million, twenty thousand, two hundred".