12200010020000 has 480 divisors, whose sum is σ = 33604291784448. Its totient is φ = 4320000000000.

The previous prime is 12200010019949. The next prime is 12200010020083. The reversal of 12200010020000 is 2001000221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12200010020000.

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, 6774019100 + ... + 6774020900.

Almost surely, 2^{12200010020000} is an apocalyptic number.

12200010020000 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 12200010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16802145892224).

12200010020000 is an abundant number, since it is smaller than the sum of its proper divisors (21404281764448).

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

12200010020000 is a wasteful number, since it uses less digits than its factorization.

12200010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12200010020000 its reverse (2001000221), we get a palindrome (12202011020221).

The spelling of 12200010020000 in words is "twelve trillion, two hundred billion, ten million, twenty thousand".