12200212010000 has 400 divisors, whose sum is σ = 35913520494720. Its totient is φ = 3918136320000.

The previous prime is 12200212009981. The next prime is 12200212010029. The reversal of 12200212010000 is 1021200221.

It is a happy number.

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

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 79 ways as a sum of consecutive naturals, for example, 251065706 + ... + 251114294.

Almost surely, 2^{12200212010000} is an apocalyptic number.

12200212010000 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 12200212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956760247360).

12200212010000 is an abundant number, since it is smaller than the sum of its proper divisors (23713308484720).

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

12200212010000 is a wasteful number, since it uses less digits than its factorization.

12200212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48852 (or 48831 counting only the distinct ones).

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

Adding to 12200212010000 its reverse (1021200221), we get a palindrome (12201233210221).

The spelling of 12200212010000 in words is "twelve trillion, two hundred billion, two hundred twelve million, ten thousand".