122200202111200 has 1152 divisors, whose sum is σ = 338238401356800. Its totient is φ = 42918543360000.

The previous prime is 122200202111161. The next prime is 122200202111279. The reversal of 122200202111200 is 2111202002221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211785445312 + ... + 211785445888.

It is an arithmetic number, because the mean of its divisors is an integer number (293609723400).

Almost surely, 2^{122200202111200} is an apocalyptic number.

122200202111200 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 122200202111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169119200678400).

122200202111200 is an abundant number, since it is smaller than the sum of its proper divisors (216038199245600).

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

122200202111200 is a wasteful number, since it uses less digits than its factorization.

122200202111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122200202111200 its reverse (2111202002221), we get a palindrome (124311404113421).

The spelling of 122200202111200 in words is "one hundred twenty-two trillion, two hundred billion, two hundred two million, one hundred eleven thousand, two hundred".