3005122120 has 192 divisors, whose sum is σ = 9148527360. Its totient is φ = 864483840.

The previous prime is 3005122097. The next prime is 3005122151. The reversal of 3005122120 is 212215003.

It is a super-2 number, since 2×3005122120² = 18061517912226588800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3005122094 and 3005122103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437029 + ... + 443851.

It is an arithmetic number, because the mean of its divisors is an integer number (47648580).

Almost surely, 2^3005122120 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 3005122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574263680).

3005122120 is an abundant number, since it is smaller than the sum of its proper divisors (6143405240).

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

3005122120 is a wasteful number, since it uses less digits than its factorization.

3005122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 3005122120 is about 54818.9941534866. The cubic root of 3005122120 is about 1443.0699230870.

Adding to 3005122120 its reverse (212215003), we get a palindrome (3217337123).

The spelling of 3005122120 in words is "three billion, five million, one hundred twenty-two thousand, one hundred twenty".