9125205120 has 256 divisors, whose sum is σ = 32435020800. Its totient is φ = 2424619008.

The previous prime is 9125205091. The next prime is 9125205151. The reversal of 9125205120 is 215025219.

9125205120 is a `hidden beast` number, since 9 + 12 + 520 + 5 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5822577 + ... + 5824143.

It is an arithmetic number, because the mean of its divisors is an integer number (126699300).

Almost surely, 2^9125205120 is an apocalyptic number.

9125205120 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 9125205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217510400).

9125205120 is an abundant number, since it is smaller than the sum of its proper divisors (23309815680).

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

9125205120 is a wasteful number, since it uses less digits than its factorization.

9125205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 9125205120 is about 95525.9395138305. The cubic root of 9125205120 is about 2089.6852559008.

The spelling of 9125205120 in words is "nine billion, one hundred twenty-five million, two hundred five thousand, one hundred twenty".