122112011100200 has 384 divisors, whose sum is σ = 316636678955520. Its totient is φ = 43424341939200.

The previous prime is 122112011100197. The next prime is 122112011100221. The reversal of 122112011100200 is 2001110211221.

It is a super-2 number, since 2×122112011100200² (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 95 ways as a sum of consecutive naturals, for example, 43042653182 + ... + 43042656018.

It is an arithmetic number, because the mean of its divisors is an integer number (824574684780).

Almost surely, 2^{122112011100200} is an apocalyptic number.

122112011100200 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 122112011100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158318339477760).

122112011100200 is an abundant number, since it is smaller than the sum of its proper divisors (194524667855320).

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

122112011100200 is a wasteful number, since it uses less digits than its factorization.

122112011100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122112011100200 its reverse (2001110211221), we get a palindrome (124113121311421).

The spelling of 122112011100200 in words is "one hundred twenty-two trillion, one hundred twelve billion, eleven million, one hundred thousand, two hundred".