10323223201200 has 480 divisors, whose sum is σ = 43094092801536. Its totient is φ = 2049963540480.

The previous prime is 10323223201199. The next prime is 10323223201243. The reversal of 10323223201200 is 210232232301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 924042 + ... + 4636841.

Almost surely, 2^{10323223201200} is an apocalyptic number.

10323223201200 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 10323223201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547046400768).

10323223201200 is an abundant number, since it is smaller than the sum of its proper divisors (32770869600336).

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

10323223201200 is a wasteful number, since it uses less digits than its factorization.

10323223201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560941 (or 5560930 counting only the distinct ones).

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

Adding to 10323223201200 its reverse (210232232301), we get a palindrome (10533455433501).

The spelling of 10323223201200 in words is "ten trillion, three hundred twenty-three billion, two hundred twenty-three million, two hundred one thousand, two hundred".