2012002200200 has 96 divisors (see below), whose sum is σ = 4953875565600. Its totient is φ = 757337379840.

The previous prime is 2012002200181. The next prime is 2012002200233. The reversal of 2012002200200 is 20022002102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22596167 + ... + 22685033.

It is an arithmetic number, because the mean of its divisors is an integer number (51602870475).

Almost surely, 2^{2012002200200} is an apocalyptic number.

2012002200200 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 2012002200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476937782800).

2012002200200 is an abundant number, since it is smaller than the sum of its proper divisors (2941873365400).

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

2012002200200 is a wasteful number, since it uses less digits than its factorization.

2012002200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95559 (or 95550 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2012002200200 its reverse (20022002102), we get a palindrome (2032024202302).

The spelling of 2012002200200 in words is "two trillion, twelve billion, two million, two hundred thousand, two hundred".