122100012200 has 96 divisors (see below), whose sum is σ = 290322489600. Its totient is φ = 47734928640.

The previous prime is 122100012191. The next prime is 122100012217. The reversal of 122100012200 is 2210001221.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7107221 + ... + 7124379.

It is an arithmetic number, because the mean of its divisors is an integer number (3024192600).

Almost surely, 2^122100012200 is an apocalyptic number.

122100012200 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 122100012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145161244800).

122100012200 is an abundant number, since it is smaller than the sum of its proper divisors (168222477400).

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

122100012200 is a wasteful number, since it uses less digits than its factorization.

122100012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17979 (or 17970 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122100012200 its reverse (2210001221), we get a palindrome (124310013421).

The spelling of 122100012200 in words is "one hundred twenty-two billion, one hundred million, twelve thousand, two hundred".