330214213120 has 160 divisors (see below), whose sum is σ = 864221757696. Its totient is φ = 120007680000.

The previous prime is 330214213099. The next prime is 330214213157. The reversal of 330214213120 is 21312412033.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 330214213091 and 330214213100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91546357 + ... + 91549963.

Almost surely, 2^330214213120 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 330214213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432110878848).

330214213120 is an abundant number, since it is smaller than the sum of its proper divisors (534007544576).

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

330214213120 is a wasteful number, since it uses less digits than its factorization.

330214213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 330214213120 its reverse (21312412033), we get a palindrome (351526625153).

The spelling of 330214213120 in words is "three hundred thirty billion, two hundred fourteen million, two hundred thirteen thousand, one hundred twenty".