122300111122200 has 576 divisors, whose sum is σ = 472154445360000. Its totient is φ = 28057748889600.

The previous prime is 122300111122187. The next prime is 122300111122253. The reversal of 122300111122200 is 2221111003221.

122300111122200 is a `hidden beast` number, since 1 + 2 + 230 + 0 + 111 + 122 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 349314831 + ... + 349664769.

It is an arithmetic number, because the mean of its divisors is an integer number (819712578750).

Almost surely, 2^{122300111122200} is an apocalyptic number.

122300111122200 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 122300111122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236077222680000).

122300111122200 is an abundant number, since it is smaller than the sum of its proper divisors (349854334237800).

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

122300111122200 is a wasteful number, since it uses less digits than its factorization.

122300111122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350920 (or 350908 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122300111122200 its reverse (2221111003221), we get a palindrome (124521222125421).

The spelling of 122300111122200 in words is "one hundred twenty-two trillion, three hundred billion, one hundred eleven million, one hundred twenty-two thousand, two hundred".