122312100200 has 144 divisors (see below), whose sum is σ = 298740775200. Its totient is φ = 46567382400.

The previous prime is 122312100199. The next prime is 122312100283. The reversal of 122312100200 is 2001213221.

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 35 ways as a sum of consecutive naturals, for example, 22321061 + ... + 22326539.

Almost surely, 2^122312100200 is an apocalyptic number.

122312100200 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 122312100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149370387600).

122312100200 is an abundant number, since it is smaller than the sum of its proper divisors (176428675000).

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

122312100200 is a wasteful number, since it uses less digits than its factorization.

122312100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122312100200 its reverse (2001213221), we get a palindrome (124313313421).

The spelling of 122312100200 in words is "one hundred twenty-two billion, three hundred twelve million, one hundred thousand, two hundred".