330201321120 has 480 divisors, whose sum is σ = 1312301523456. Its totient is φ = 77465548800.

The previous prime is 330201321097. The next prime is 330201321187. The reversal of 330201321120 is 21123102033.

330201321120 is a `hidden beast` number, since 330 + 2 + 0 + 1 + 321 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 330201321093 and 330201321102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4382002 + ... + 4456718.

Almost surely, 2^330201321120 is an apocalyptic number.

330201321120 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 330201321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656150761728).

330201321120 is an abundant number, since it is smaller than the sum of its proper divisors (982100202336).

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

330201321120 is a wasteful number, since it uses less digits than its factorization.

330201321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74786 (or 74769 counting only the distinct ones).

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

Adding to 330201321120 its reverse (21123102033), we get a palindrome (351324423153).

The spelling of 330201321120 in words is "three hundred thirty billion, two hundred one million, three hundred twenty-one thousand, one hundred twenty".