12210011203200 has 192 divisors, whose sum is σ = 40219745027520. Its totient is φ = 3255758438400.

The previous prime is 12210011203189. The next prime is 12210011203213. The reversal of 12210011203200 is 230211001221.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12210011203200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153473832 + ... + 153553368.

It is an arithmetic number, because the mean of its divisors is an integer number (209477838685).

Almost surely, 2^{12210011203200} is an apocalyptic number.

12210011203200 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 12210011203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109872513760).

12210011203200 is an abundant number, since it is smaller than the sum of its proper divisors (28009733824320).

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

12210011203200 is a wasteful number, since it uses less digits than its factorization.

12210011203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95555 (or 95538 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12210011203200 its reverse (230211001221), we get a palindrome (12440222204421).

The spelling of 12210011203200 in words is "twelve trillion, two hundred ten billion, eleven million, two hundred three thousand, two hundred".