9126405120 has 352 divisors, whose sum is σ = 35329713408. Its totient is φ = 1962934272.

The previous prime is 9126405091. The next prime is 9126405131. The reversal of 9126405120 is 215046219.

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

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, 1825344 + ... + 1830336.

It is an arithmetic number, because the mean of its divisors is an integer number (100368504).

Almost surely, 2^9126405120 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 9126405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664856704).

9126405120 is an abundant number, since it is smaller than the sum of its proper divisors (26203308288).

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

9126405120 is a wasteful number, since it uses less digits than its factorization.

9126405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 9126405120 is about 95532.2203238258. The cubic root of 9126405120 is about 2089.7768524681.

The spelling of 9126405120 in words is "nine billion, one hundred twenty-six million, four hundred five thousand, one hundred twenty".