330142120 has 128 divisors (see below), whose sum is σ = 951471360. Its totient is φ = 100085760.

The previous prime is 330142103. The next prime is 330142129. The reversal of 330142120 is 21241033.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 330142094 and 330142103.

It is not an unprimeable number, because it can be changed into a prime (330142129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112512 + ... + 115408.

It is an arithmetic number, because the mean of its divisors is an integer number (7433370).

Almost surely, 2^330142120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475735680).

330142120 is an abundant number, since it is smaller than the sum of its proper divisors (621329240).

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

330142120 is a wasteful number, since it uses less digits than its factorization.

330142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 330142120 is about 18169.8134277708. The cubic root of 330142120 is about 691.1415117280.

Adding to 330142120 its reverse (21241033), we get a palindrome (351383153).

The spelling of 330142120 in words is "three hundred thirty million, one hundred forty-two thousand, one hundred twenty".