122122201211200 has 42 divisors (see below), whose sum is σ = 300496941359246. Its totient is φ = 48848880483840.

The previous prime is 122122201211177. The next prime is 122122201211249. The reversal of 122122201211200 is 2112102221221.

It can be written as a sum of positive squares in 3 ways, for example, as 23029095690496 + 99093105520704 = 4798864^2 + 9954552^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38163186279 + ... + 38163189478.

Almost surely, 2^{122122201211200} is an apocalyptic number.

122122201211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122201211200 is an abundant number, since it is smaller than the sum of its proper divisors (178374740148046).

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

122122201211200 is an equidigital number, since it uses as much as digits as its factorization.

122122201211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76326375779 (or 76326375764 counting only the distinct ones).

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

Adding to 122122201211200 its reverse (2112102221221), we get a palindrome (124234303432421).

The spelling of 122122201211200 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred one million, two hundred eleven thousand, two hundred".