12200021210000 has 400 divisors, whose sum is σ = 32237982730800. Its totient is φ = 4444188672000.

The previous prime is 12200021209879. The next prime is 12200021210011. The reversal of 12200021210000 is 1212000221.

It is a happy number.

It can be written as a sum of positive squares in 40 ways, for example, as 2309524562944 + 9890496647056 = 1519712^2 + 3144916^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7138689146 + ... + 7138690854.

It is an arithmetic number, because the mean of its divisors is an integer number (80594956827).

Almost surely, 2^{12200021210000} is an apocalyptic number.

12200021210000 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 12200021210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16118991365400).

12200021210000 is an abundant number, since it is smaller than the sum of its proper divisors (20037961520800).

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

12200021210000 is a wasteful number, since it uses less digits than its factorization.

12200021210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12200021210000 its reverse (1212000221), we get a palindrome (12201233210221).

The spelling of 12200021210000 in words is "twelve trillion, two hundred billion, twenty-one million, two hundred ten thousand".