330222311120 has 80 divisors (see below), whose sum is σ = 832774615680. Its totient is φ = 121051003392.

The previous prime is 330222311077. The next prime is 330222311129. The reversal of 330222311120 is 21113222033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×330222311120² (a number of 24 digits) contains 22 as substring.

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 = 330222311092 and 330222311101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330222311129) by changing a digit.

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, 997604 + ... + 1286723.

It is an arithmetic number, because the mean of its divisors is an integer number (10409682696).

Almost surely, 2^330222311120 is an apocalyptic number.

It is an amenable number.

330222311120 is an abundant number, since it is smaller than the sum of its proper divisors (502552304560).

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

330222311120 is a wasteful number, since it uses less digits than its factorization.

330222311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284492 (or 2284486 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 330222311120 its reverse (21113222033), we get a palindrome (351335533153).

The spelling of 330222311120 in words is "three hundred thirty billion, two hundred twenty-two million, three hundred eleven thousand, one hundred twenty".