330201131221120 has 64 divisors (see below), whose sum is σ = 804281175244440. Its totient is φ = 129588368465920.

The previous prime is 330201131221057. The next prime is 330201131221121. The reversal of 330201131221120 is 21122131102033.

It can be written as a sum of positive squares in 4 ways, for example, as 308424124992064 + 21777006229056 = 17562008^2 + 4666584^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 330201131221091 and 330201131221100.

It is not an unprimeable number, because it can be changed into a prime (330201131221121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4867317661 + ... + 4867385500.

Almost surely, 2^{330201131221120} is an apocalyptic number.

It is an amenable number.

330201131221120 is an abundant number, since it is smaller than the sum of its proper divisors (474080044023320).

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

330201131221120 is an equidigital number, since it uses as much as digits as its factorization.

330201131221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9734703233 (or 9734703221 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 330201131221120 its reverse (21122131102033), we get a palindrome (351323262323153).

The spelling of 330201131221120 in words is "three hundred thirty trillion, two hundred one billion, one hundred thirty-one million, two hundred twenty-one thousand, one hundred twenty".