122202100121200 has 120 divisors (see below), whose sum is σ = 320588865642240. Its totient is φ = 44394356524800.

The previous prime is 122202100121141. The next prime is 122202100121207. The reversal of 122202100121200 is 2121001202221.

It is a happy number.

122202100121200 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 (122202100121207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8793754 + ... + 17936953.

It is an arithmetic number, because the mean of its divisors is an integer number (2671573880352).

Almost surely, 2^{122202100121200} is an apocalyptic number.

122202100121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202100121200 is an abundant number, since it is smaller than the sum of its proper divisors (198386765521040).

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

122202100121200 is a wasteful number, since it uses less digits than its factorization.

122202100121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26731775 (or 26731764 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122202100121200 its reverse (2121001202221), we get a palindrome (124323101323421).

The spelling of 122202100121200 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred million, one hundred twenty-one thousand, two hundred".