3001131120 has 320 divisors, whose sum is σ = 10630569600. Its totient is φ = 695009280.

The previous prime is 3001131083. The next prime is 3001131143. The reversal of 3001131120 is 211311003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3001131096 and 3001131105.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3709276 + ... + 3710084.

It is an arithmetic number, because the mean of its divisors is an integer number (33220530).

Almost surely, 2^3001131120 is an apocalyptic number.

3001131120 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 3001131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315284800).

3001131120 is an abundant number, since it is smaller than the sum of its proper divisors (7629438480).

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

3001131120 is a wasteful number, since it uses less digits than its factorization.

3001131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3001131120 is about 54782.5804430569. The cubic root of 3001131120 is about 1442.4308094572.

Adding to 3001131120 its reverse (211311003), we get a palindrome (3212442123).

The spelling of 3001131120 in words is "three billion, one million, one hundred thirty-one thousand, one hundred twenty".