2200001130000 has 300 divisors, whose sum is σ = 7901672114908. Its totient is φ = 570810240000.

The previous prime is 2200001129969. The next prime is 2200001130023. The reversal of 2200001130000 is 311000022.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 657675584784 + 1542325545216 = 810972^2 + 1241904^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 59 ways as a sum of consecutive naturals, for example, 2999670 + ... + 3660330.

Almost surely, 2^{2200001130000} is an apocalyptic number.

2200001130000 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 2200001130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950836057454).

2200001130000 is an abundant number, since it is smaller than the sum of its proper divisors (5701670984908).

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

2200001130000 is a wasteful number, since it uses less digits than its factorization.

2200001130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660732 (or 660708 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2200001130000 its reverse (311000022), we get a palindrome (2200312130022).

The spelling of 2200001130000 in words is "two trillion, two hundred billion, one million, one hundred thirty thousand".