3013122320 has 80 divisors (see below), whose sum is σ = 7556985072. Its totient is φ = 1110681600.

The previous prime is 3013122311. The next prime is 3013122341. The reversal of 3013122320 is 232213103.

It can be written as a sum of positive squares in 8 ways, for example, as 11397376 + 3001724944 = 3376^2 + 54788^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3013122320² = 18157812230564364800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726974 + ... + 731106.

Almost surely, 2^3013122320 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 3013122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778492536).

3013122320 is an abundant number, since it is smaller than the sum of its proper divisors (4543862752).

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

3013122320 is a wasteful number, since it uses less digits than its factorization.

3013122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3013122320 is about 54891.9148873493. The cubic root of 3013122320 is about 1444.3493628581.

Adding to 3013122320 its reverse (232213103), we get a palindrome (3245335423).

The spelling of 3013122320 in words is "three billion, thirteen million, one hundred twenty-two thousand, three hundred twenty".