121122210000200 has 96 divisors (see below), whose sum is σ = 288492108537600. Its totient is φ = 47267328380160.

The previous prime is 121122210000193. The next prime is 121122210000227. The reversal of 121122210000200 is 2000012221121.

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 23 ways as a sum of consecutive naturals, for example, 738095 + ... + 15581694.

It is an arithmetic number, because the mean of its divisors is an integer number (3005126130600).

Almost surely, 2^{121122210000200} is an apocalyptic number.

121122210000200 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 121122210000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144246054268800).

121122210000200 is an abundant number, since it is smaller than the sum of its proper divisors (167369898537400).

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

121122210000200 is a wasteful number, since it uses less digits than its factorization.

121122210000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16320711 (or 16320702 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121122210000200 its reverse (2000012221121), we get a palindrome (123122222221321).

The spelling of 121122210000200 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred ten million, two hundred", and thus it is an aban number.