122200223200 has 432 divisors, whose sum is σ = 343367398080. Its totient is φ = 42380800000.

The previous prime is 122200223183. The next prime is 122200223207. The reversal of 122200223200 is 2322002221.

122200223200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200223207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283526985 + ... + 283527415.

It is an arithmetic number, because the mean of its divisors is an integer number (794831940).

Almost surely, 2^122200223200 is an apocalyptic number.

122200223200 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 122200223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171683699040).

122200223200 is an abundant number, since it is smaller than the sum of its proper divisors (221167174880).

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

122200223200 is a wasteful number, since it uses less digits than its factorization.

122200223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 122200223200 its reverse (2322002221), we get a palindrome (124522225421).

The spelling of 122200223200 in words is "one hundred twenty-two billion, two hundred million, two hundred twenty-three thousand, two hundred".