330122160000 has 960 divisors, whose sum is σ = 1244839836240. Its totient is φ = 83865600000.

The previous prime is 330122159999. The next prime is 330122160007. The reversal of 330122160000 is 61221033.

330122160000 is a `hidden beast` number, since 3 + 30 + 12 + 21 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330122160007) 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 119 ways as a sum of consecutive naturals, for example, 1564559895 + ... + 1564560105.

Almost surely, 2^330122160000 is an apocalyptic number.

330122160000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330122160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622419918120).

330122160000 is an abundant number, since it is smaller than the sum of its proper divisors (914717676240).

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

330122160000 is a wasteful number, since it uses less digits than its factorization.

330122160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330122160000 its reverse (61221033), we get a palindrome (330183381033).

The spelling of 330122160000 in words is "three hundred thirty billion, one hundred twenty-two million, one hundred sixty thousand".