20211303200 has 288 divisors, whose sum is σ = 57230712000. Its totient is φ = 6892646400.

The previous prime is 20211303193. The next prime is 20211303227. The reversal of 20211303200 is 230311202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18224246 + ... + 18225354.

It is an arithmetic number, because the mean of its divisors is an integer number (198717750).

Almost surely, 2^20211303200 is an apocalyptic number.

20211303200 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 20211303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28615356000).

20211303200 is an abundant number, since it is smaller than the sum of its proper divisors (37019408800).

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

20211303200 is a wasteful number, since it uses less digits than its factorization.

20211303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20211303200 its reverse (230311202), we get a palindrome (20441614402).

The spelling of 20211303200 in words is "twenty billion, two hundred eleven million, three hundred three thousand, two hundred".