203122200133200 has 480 divisors, whose sum is σ = 667191996979200. Its totient is φ = 52807087503360.

The previous prime is 203122200133169. The next prime is 203122200133243. The reversal of 203122200133200 is 2331002221302.

It is a happy number.

203122200133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5190540834 + ... + 5190579966.

It is an arithmetic number, because the mean of its divisors is an integer number (1389983327040).

Almost surely, 2^{203122200133200} is an apocalyptic number.

203122200133200 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 203122200133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333595998489600).

203122200133200 is an abundant number, since it is smaller than the sum of its proper divisors (464069796846000).

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

203122200133200 is a wasteful number, since it uses less digits than its factorization.

203122200133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39819 (or 39808 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 203122200133200 its reverse (2331002221302), we get a palindrome (205453202354502).

The spelling of 203122200133200 in words is "two hundred three trillion, one hundred twenty-two billion, two hundred million, one hundred thirty-three thousand, two hundred".