200012222120 has 64 divisors (see below), whose sum is σ = 455906016000. Its totient is φ = 78960630528.

The previous prime is 200012222077. The next prime is 200012222129. The reversal of 200012222120 is 21222210002.

200012222120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200012222095 and 200012222104.

It is not an unprimeable number, because it can be changed into a prime (200012222129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8896814 + ... + 8919266.

It is an arithmetic number, because the mean of its divisors is an integer number (7123531500).

Almost surely, 2^200012222120 is an apocalyptic number.

200012222120 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 200012222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227953008000).

200012222120 is an abundant number, since it is smaller than the sum of its proper divisors (255893793880).

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

200012222120 is a wasteful number, since it uses less digits than its factorization.

200012222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25362 (or 25358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200012222120 its reverse (21222210002), we get a palindrome (221234432122).

The spelling of 200012222120 in words is "two hundred billion, twelve million, two hundred twenty-two thousand, one hundred twenty".