200122121200 has 120 divisors (see below), whose sum is σ = 499877604000. Its totient is φ = 76899271680.

The previous prime is 200122121099. The next prime is 200122121203. The reversal of 200122121200 is 2121221002.

It is a happy number.

200122121200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200122121203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2265054 + ... + 2351746.

It is an arithmetic number, because the mean of its divisors is an integer number (4165646700).

Almost surely, 2^200122121200 is an apocalyptic number.

200122121200 is a gapful number since it is divisible by the number (20) 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 200122121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249938802000).

200122121200 is an abundant number, since it is smaller than the sum of its proper divisors (299755482800).

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

200122121200 is a wasteful number, since it uses less digits than its factorization.

200122121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86939 (or 86928 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200122121200 its reverse (2121221002), we get a palindrome (202243342202).

The spelling of 200122121200 in words is "two hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".