10323201200 has 120 divisors (see below), whose sum is σ = 27086453856. Its totient is φ = 3757824000.

The previous prime is 10323201191. The next prime is 10323201209. The reversal of 10323201200 is 210232301.

It is a happy number.

10323201200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10323201191) and next prime (10323201209).

It is not an unprimeable number, because it can be changed into a prime (10323201209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355220 + ... + 383180.

Almost surely, 2^10323201200 is an apocalyptic number.

10323201200 is a gapful number since it is divisible by the number (10) 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 10323201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543226928).

10323201200 is an abundant number, since it is smaller than the sum of its proper divisors (16763252656).

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

10323201200 is a wasteful number, since it uses less digits than its factorization.

10323201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28063 (or 28052 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10323201200 its reverse (210232301), we get a palindrome (10533433501).

The spelling of 10323201200 in words is "ten billion, three hundred twenty-three million, two hundred one thousand, two hundred".