20201333200 has 120 divisors (see below), whose sum is σ = 50061795840. Its totient is φ = 7829568000.

The previous prime is 20201333129. The next prime is 20201333209. The reversal of 20201333200 is 233310202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201333209) 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, 1893481 + ... + 1904119.

It is an arithmetic number, because the mean of its divisors is an integer number (417181632).

Almost surely, 2^20201333200 is an apocalyptic number.

20201333200 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 20201333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25030897920).

20201333200 is an abundant number, since it is smaller than the sum of its proper divisors (29860462640).

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

20201333200 is a wasteful number, since it uses less digits than its factorization.

20201333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10805 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 20201333200 its reverse (233310202), we get a palindrome (20434643402).

The spelling of 20201333200 in words is "twenty billion, two hundred one million, three hundred thirty-three thousand, two hundred".