122221121200002 has 288 divisors, whose sum is σ = 308290283046720. Its totient is φ = 34672075764480.

The previous prime is 122221121199979. The next prime is 122221121200049. The reversal of 122221121200002 is 200002121122221.

It is a happy number.

122221121200002 is a `hidden beast` number, since 122 + 221 + 121 + 200 + 0 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 907499524 + ... + 907634192.

It is an arithmetic number, because the mean of its divisors is an integer number (1070452371690).

Almost surely, 2^{122221121200002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122221121200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154145141523360).

122221121200002 is an abundant number, since it is smaller than the sum of its proper divisors (186069161846718).

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

122221121200002 is a wasteful number, since it uses less digits than its factorization.

122221121200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134878 (or 134832 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122221121200002 its reverse (200002121122221), we get a palindrome (322223242322223).

The spelling of 122221121200002 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, two".