20211144200 has 192 divisors, whose sum is σ = 53212844160. Its totient is φ = 7083141120.

The previous prime is 20211144193. The next prime is 20211144209. The reversal of 20211144200 is 244111202.

It is not an unprimeable number, because it can be changed into a prime (20211144209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8191367 + ... + 8193833.

It is an arithmetic number, because the mean of its divisors is an integer number (277150230).

Almost surely, 2^20211144200 is an apocalyptic number.

20211144200 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 20211144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26606422080).

20211144200 is an abundant number, since it is smaller than the sum of its proper divisors (33001699960).

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

20211144200 is a wasteful number, since it uses less digits than its factorization.

20211144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20211144200 its reverse (244111202), we get a palindrome (20455255402).

The spelling of 20211144200 in words is "twenty billion, two hundred eleven million, one hundred forty-four thousand, two hundred".