202030031200 has 288 divisors, whose sum is σ = 540437909760. Its totient is φ = 73506048000.

The previous prime is 202030031197. The next prime is 202030031209. The reversal of 202030031200 is 2130030202.

It is a happy number.

It is a super-2 number, since 2×202030031200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202030031209) 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, 35748375 + ... + 35754025.

It is an arithmetic number, because the mean of its divisors is an integer number (1876520520).

Almost surely, 2^202030031200 is an apocalyptic number.

202030031200 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 202030031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270218954880).

202030031200 is an abundant number, since it is smaller than the sum of its proper divisors (338407878560).

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

202030031200 is a wasteful number, since it uses less digits than its factorization.

202030031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5790 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 202030031200 its reverse (2130030202), we get a palindrome (204160061402).

The spelling of 202030031200 in words is "two hundred two billion, thirty million, thirty-one thousand, two hundred".