330330001122 has 160 divisors (see below), whose sum is σ = 818910506304. Its totient is φ = 98692214400.

The previous prime is 330330001063. The next prime is 330330001151. The reversal of 330330001122 is 221100033033.

330330001122 is a `hidden beast` number, since 330 + 3 + 300 + 0 + 11 + 22 = 666.

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 = 330330001095 and 330330001104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36645888 + ... + 36654900.

Almost surely, 2^330330001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330330001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409455253152).

330330001122 is an abundant number, since it is smaller than the sum of its proper divisors (488580505182).

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

330330001122 is a wasteful number, since it uses less digits than its factorization.

330330001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9326 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 330330001122 its reverse (221100033033), we get a palindrome (551430034155).

The spelling of 330330001122 in words is "three hundred thirty billion, three hundred thirty million, one thousand, one hundred twenty-two".