9130605120 has 1120 divisors, whose sum is σ = 41306496000. Its totient is φ = 1902071808.

The previous prime is 9130605103. The next prime is 9130605151. The reversal of 9130605120 is 215060319.

9130605120 is a `hidden beast` number, since 9 + 1 + 30 + 605 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 115577241 + ... + 115577319.

It is an arithmetic number, because the mean of its divisors is an integer number (36880800).

Almost surely, 2^9130605120 is an apocalyptic number.

9130605120 is a gapful number since it is divisible by the number (90) 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 9130605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20653248000).

9130605120 is an abundant number, since it is smaller than the sum of its proper divisors (32175890880).

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

9130605120 is a wasteful number, since it uses less digits than its factorization.

9130605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9130605120 is about 95554.1999076964. The cubic root of 9130605120 is about 2090.0973772384.

Adding to 9130605120 its reverse (215060319), we get a palindrome (9345665439).

The spelling of 9130605120 in words is "nine billion, one hundred thirty million, six hundred five thousand, one hundred twenty".