12201332320200 has 384 divisors, whose sum is σ = 40165714944000. Its totient is φ = 3053393510400.

The previous prime is 12201332320129. The next prime is 12201332320201. The reversal of 12201332320200 is 202323310221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12201332320201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9539743161 + ... + 9539744439.

It is an arithmetic number, because the mean of its divisors is an integer number (104598216000).

Almost surely, 2^{12201332320200} is an apocalyptic number.

12201332320200 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 12201332320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20082857472000).

12201332320200 is an abundant number, since it is smaller than the sum of its proper divisors (27964382623800).

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

12201332320200 is a wasteful number, since it uses less digits than its factorization.

12201332320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3296 counting only the distinct ones).

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

Adding to 12201332320200 its reverse (202323310221), we get a palindrome (12403655630421).

The spelling of 12201332320200 in words is "twelve trillion, two hundred one billion, three hundred thirty-two million, three hundred twenty thousand, two hundred".