9128205120 has 224 divisors, whose sum is σ = 29784129408. Its totient is φ = 2367332352.

The previous prime is 9128205113. The next prime is 9128205133. The reversal of 9128205120 is 215028219.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16387882 + ... + 16388438.

Almost surely, 2^9128205120 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 9128205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892064704).

9128205120 is an abundant number, since it is smaller than the sum of its proper divisors (20655924288).

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

9128205120 is a wasteful number, since it uses less digits than its factorization.

9128205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 9128205120 is about 95541.6407646425. The cubic root of 9128205120 is about 2089.9142322656.

The spelling of 9128205120 in words is "nine billion, one hundred twenty-eight million, two hundred five thousand, one hundred twenty".