9381135120 has 320 divisors, whose sum is σ = 35020615680. Its totient is φ = 2030966784.

The previous prime is 9381135103. The next prime is 9381135133. The reversal of 9381135120 is 215311839.

It is a super-2 number, since 2×9381135120² (a number of 21 digits) 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 63 ways as a sum of consecutive naturals, for example, 4133346 + ... + 4135614.

It is an arithmetic number, because the mean of its divisors is an integer number (109439424).

Almost surely, 2^9381135120 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 9381135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510307840).

9381135120 is an abundant number, since it is smaller than the sum of its proper divisors (25639480560).

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

9381135120 is a wasteful number, since it uses less digits than its factorization.

9381135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 9381135120 is about 96856.2600971150. The cubic root of 9381135120 is about 2109.0415238995.

Adding to 9381135120 its reverse (215311839), we get a palindrome (9596446959).

The spelling of 9381135120 in words is "nine billion, three hundred eighty-one million, one hundred thirty-five thousand, one hundred twenty".