9612135120 has 320 divisors, whose sum is σ = 35556724224. Its totient is φ = 2102231040.

The previous prime is 9612135107. The next prime is 9612135149. The reversal of 9612135120 is 215312169.

9612135120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3649324 + ... + 3651956.

Almost surely, 2^9612135120 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 9612135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778362112).

9612135120 is an abundant number, since it is smaller than the sum of its proper divisors (25944589104).

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

9612135120 is a wasteful number, since it uses less digits than its factorization.

9612135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 9612135120 is about 98041.4969285965. The cubic root of 9612135120 is about 2126.2122813824.

Adding to 9612135120 its reverse (215312169), we get a palindrome (9827447289).

The spelling of 9612135120 in words is "nine billion, six hundred twelve million, one hundred thirty-five thousand, one hundred twenty".