220201330000000 has 128 divisors (see below), whose sum is σ = 548351542505520. Its totient is φ = 88080528000000.

The previous prime is 220201329999991. The next prime is 220201330000027. The reversal of 220201330000000 is 33102022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 163053898793536 + 57147431206464 = 12769256^2 + 7559592^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010067 + ... + 21010066.

Almost surely, 2^{220201330000000} is an apocalyptic number.

220201330000000 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 220201330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274175771252760).

220201330000000 is an abundant number, since it is smaller than the sum of its proper divisors (328150212505520).

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

220201330000000 is an frugal number, since it uses more digits than its factorization.

220201330000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22020182 (or 22020140 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 220201330000000 its reverse (33102022), we get a palindrome (220201363102022).

The spelling of 220201330000000 in words is "two hundred twenty trillion, two hundred one billion, three hundred thirty million", and thus it is an aban number.