3005121152 has 128 divisors (see below), whose sum is σ = 6809356800. Its totient is φ = 1319577600.

The previous prime is 3005121151. The next prime is 3005121169. The reversal of 3005121152 is 2511215003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3005121151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5281124 + ... + 5281692.

It is an arithmetic number, because the mean of its divisors is an integer number (53198100).

Almost surely, 2^3005121152 is an apocalyptic number.

3005121152 is a gapful number since it is divisible by the number (32) 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 3005121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404678400).

3005121152 is an abundant number, since it is smaller than the sum of its proper divisors (3804235648).

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

3005121152 is an equidigital number, since it uses as much as digits as its factorization.

3005121152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 3005121152 is about 54818.9853244293. The cubic root of 3005121152 is about 1443.0697681414.

Adding to 3005121152 its reverse (2511215003), we get a palindrome (5516336155).

The spelling of 3005121152 in words is "three billion, five million, one hundred twenty-one thousand, one hundred fifty-two".