3001333120 has 64 divisors (see below), whose sum is σ = 7261637040. Its totient is φ = 1186048000.

The previous prime is 3001333109. The next prime is 3001333133. The reversal of 3001333120 is 213331003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3001333094 and 3001333103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24870 + ... + 81370.

Almost surely, 2^3001333120 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 3001333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630818520).

3001333120 is an abundant number, since it is smaller than the sum of its proper divisors (4260303920).

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

3001333120 is an equidigital number, since it uses as much as digits as its factorization.

3001333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56603 (or 56591 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 3001333120 is about 54784.4240637793. The cubic root of 3001333120 is about 1442.4631710874.

Adding to 3001333120 its reverse (213331003), we get a palindrome (3214664123).

The spelling of 3001333120 in words is "three billion, one million, three hundred thirty-three thousand, one hundred twenty".