122202220210000 has 200 divisors, whose sum is σ = 338469392624000. Its totient is φ = 41855856192000.

The previous prime is 122202220209997. The next prime is 122202220210003. The reversal of 122202220210000 is 12022202221.

It is an interprime number because it is at equal distance from previous prime (122202220209997) and next prime (122202220210003).

It is a tau number, because it is divible by the number of its divisors (200).

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 (122202220210003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68914501 + ... + 70665499.

It is an arithmetic number, because the mean of its divisors is an integer number (1692346963120).

Almost surely, 2^{122202220210000} is an apocalyptic number.

122202220210000 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 122202220210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169234696312000).

122202220210000 is an abundant number, since it is smaller than the sum of its proper divisors (216267172414000).

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

122202220210000 is an equidigital number, since it uses as much as digits as its factorization.

122202220210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752031 (or 1752010 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122202220210000 its reverse (12022202221), we get a palindrome (122214242412221).

The spelling of 122202220210000 in words is "one hundred twenty-two trillion, two hundred two billion, two hundred twenty million, two hundred ten thousand".