2001222220320 has 144 divisors (see below), whose sum is σ = 7188600968640. Its totient is φ = 505571922432.

The previous prime is 2001222220313. The next prime is 2001222220343. The reversal of 2001222220320 is 230222221002.

2001222220320 is a `hidden beast` number, since 2 + 0 + 0 + 122 + 2 + 220 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2001222220293 and 2001222220302.

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, 36544684 + ... + 36599403.

It is an arithmetic number, because the mean of its divisors is an integer number (49920840060).

Almost surely, 2^{2001222220320} is an apocalyptic number.

2001222220320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001222220320 is an abundant number, since it is smaller than the sum of its proper divisors (5187378748320).

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

2001222220320 is a wasteful number, since it uses less digits than its factorization.

2001222220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73144127 (or 73144116 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2001222220320 its reverse (230222221002), we get a palindrome (2231444441322).

The spelling of 2001222220320 in words is "two trillion, one billion, two hundred twenty-two million, two hundred twenty thousand, three hundred twenty".