122200410000 has 300 divisors, whose sum is σ = 404049825168. Its totient is φ = 31814496000.

The previous prime is 122200409993. The next prime is 122200410001. The reversal of 122200410000 is 14002221.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (122200410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55468899 + ... + 55471101.

Almost surely, 2^122200410000 is an apocalyptic number.

122200410000 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 122200410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202024912584).

122200410000 is an abundant number, since it is smaller than the sum of its proper divisors (281849415168).

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

122200410000 is an equidigital number, since it uses as much as digits as its factorization.

122200410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122200410000 its reverse (14002221), we get a palindrome (122214412221).

The spelling of 122200410000 in words is "one hundred twenty-two billion, two hundred million, four hundred ten thousand".