122101112200000 has 336 divisors, whose sum is σ = 305389232306928. Its totient is φ = 48432384000000.

The previous prime is 122101112199949. The next prime is 122101112200003. The reversal of 122101112200000 is 2211101221.

122101112200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 121024465236544 + 1076646963456 = 11001112^2 + 1037616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101112200003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12332195050 + ... + 12332204950.

It is an arithmetic number, because the mean of its divisors is an integer number (908896524723).

Almost surely, 2^{122101112200000} is an apocalyptic number.

122101112200000 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 122101112200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152694616153464).

122101112200000 is an abundant number, since it is smaller than the sum of its proper divisors (183288120106928).

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

122101112200000 is an frugal number, since it uses more digits than its factorization.

122101112200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10448 (or 10418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122101112200000 its reverse (2211101221), we get a palindrome (122103323301221).

The spelling of 122101112200000 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twelve million, two hundred thousand".