330220223120 has 40 divisors (see below), whose sum is σ = 768027577464. Its totient is φ = 132042401792.

The previous prime is 330220223107. The next prime is 330220223143. The reversal of 330220223120 is 21322022033.

It can be written as a sum of positive squares in 4 ways, for example, as 3818251264 + 326401971856 = 61792^2 + 571316^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 330220223092 and 330220223101.

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 7 ways as a sum of consecutive naturals, for example, 480659 + ... + 944178.

Almost surely, 2^330220223120 is an apocalyptic number.

It is an amenable number.

330220223120 is an abundant number, since it is smaller than the sum of its proper divisors (437807354344).

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

330220223120 is a wasteful number, since it uses less digits than its factorization.

330220223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427747 (or 1427741 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 330220223120 its reverse (21322022033), we get a palindrome (351542245153).

The spelling of 330220223120 in words is "three hundred thirty billion, two hundred twenty million, two hundred twenty-three thousand, one hundred twenty".