2001220020000 has 300 divisors, whose sum is σ = 7354567352286. Its totient is φ = 533658240000.

The previous prime is 2001220019993. The next prime is 2001220020077. The reversal of 2001220020000 is 200221002.

It can be written as a sum of positive squares in 5 ways, for example, as 123782941584 + 1877437078416 = 351828^2 + 1370196^2 .

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 polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1002340 + ... + 2237660.

Almost surely, 2^{2001220020000} is an apocalyptic number.

2001220020000 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 2001220020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677283676143).

2001220020000 is an abundant number, since it is smaller than the sum of its proper divisors (5353347332286).

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

2001220020000 is an equidigital number, since it uses as much as digits as its factorization.

2001220020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235363 (or 1235331 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2001220020000 its reverse (200221002), we get a palindrome (2001420241002).

The spelling of 2001220020000 in words is "two trillion, one billion, two hundred twenty million, twenty thousand".