9121411296 has 336 divisors, whose sum is σ = 28342364400. Its totient is φ = 2884460544.

The previous prime is 9121411291. The next prime is 9121411309. The reversal of 9121411296 is 6921141219.

It is a happy number.

9121411296 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 (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9121411296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9121411291) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 65621595 + ... + 65621733.

It is an arithmetic number, because the mean of its divisors is an integer number (84352275).

Almost surely, 2^9121411296 is an apocalyptic number.

9121411296 is a gapful number since it is divisible by the number (96) 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 9121411296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171182200).

9121411296 is an abundant number, since it is smaller than the sum of its proper divisors (19220953104).

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

9121411296 is a wasteful number, since it uses less digits than its factorization.

9121411296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 9121411296 is about 95506.0798902353. The cubic root of 9121411296 is about 2089.3956186851.

The spelling of 9121411296 in words is "nine billion, one hundred twenty-one million, four hundred eleven thousand, two hundred ninety-six".