3001173120 has 640 divisors, whose sum is σ = 12351873600. Its totient is φ = 686776320.

The previous prime is 3001173103. The next prime is 3001173137. The reversal of 3001173120 is 213711003.

It is an interprime number because it is at equal distance from previous prime (3001173103) and next prime (3001173137).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3001173093 and 3001173102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10834422 + ... + 10834698.

Almost surely, 2^3001173120 is an apocalyptic number.

3001173120 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 3001173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175936800).

3001173120 is an abundant number, since it is smaller than the sum of its proper divisors (9350700480).

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

3001173120 is a wasteful number, since it uses less digits than its factorization.

3001173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 3001173120 is about 54782.9637752468. The cubic root of 3001173120 is about 1442.4375382325.

Adding to 3001173120 its reverse (213711003), we get a palindrome (3214884123).

It can be divided in two parts, 3001 and 173120, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 3001173120 in words is "three billion, one million, one hundred seventy-three thousand, one hundred twenty".