2200120010000 has 600 divisors, whose sum is σ = 6242800539360. Its totient is φ = 748154880000.

The previous prime is 2200120009987. The next prime is 2200120010063. The reversal of 2200120010000 is 100210022.

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 2200120010000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1908169424 + ... + 1908170576.

Almost surely, 2^{2200120010000} is an apocalyptic number.

2200120010000 is a gapful number since it is divisible by the number (20) 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 2200120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121400269680).

2200120010000 is an abundant number, since it is smaller than the sum of its proper divisors (4042680529360).

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

2200120010000 is a wasteful number, since it uses less digits than its factorization.

2200120010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1273 counting only the distinct ones).

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

Adding to 2200120010000 its reverse (100210022), we get a palindrome (2200220220022).

The spelling of 2200120010000 in words is "two trillion, two hundred billion, one hundred twenty million, ten thousand".