20334220200 has 576 divisors, whose sum is σ = 84088368000. Its totient is φ = 4297605120.

The previous prime is 20334220169. The next prime is 20334220237. The reversal of 20334220200 is 202243302.

It is a super-4 number, since 4×20334220200⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12636996 + ... + 12638604.

It is an arithmetic number, because the mean of its divisors is an integer number (145986750).

Almost surely, 2^20334220200 is an apocalyptic number.

20334220200 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 20334220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42044184000).

20334220200 is an abundant number, since it is smaller than the sum of its proper divisors (63754147800).

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

20334220200 is a wasteful number, since it uses less digits than its factorization.

20334220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20334220200 its reverse (202243302), we get a palindrome (20536463502).

The spelling of 20334220200 in words is "twenty billion, three hundred thirty-four million, two hundred twenty thousand, two hundred".