122200102000200 has 768 divisors, whose sum is σ = 470613878784000. Its totient is φ = 25597472256000.

The previous prime is 122200102000187. The next prime is 122200102000309. The reversal of 122200102000200 is 2000201002221.

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

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, 7196275710 + ... + 7196292690.

It is an arithmetic number, because the mean of its divisors is an integer number (612778488000).

Almost surely, 2^{122200102000200} is an apocalyptic number.

122200102000200 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 122200102000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235306939392000).

122200102000200 is an abundant number, since it is smaller than the sum of its proper divisors (348413776783800).

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

122200102000200 is a wasteful number, since it uses less digits than its factorization.

122200102000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19966 (or 19957 counting only the distinct ones).

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

Adding to 122200102000200 its reverse (2000201002221), we get a palindrome (124200303002421).

The spelling of 122200102000200 in words is "one hundred twenty-two trillion, two hundred billion, one hundred two million, two hundred", and thus it is an aban number.