9003121120 has 384 divisors, whose sum is σ = 27799511040. Its totient is φ = 2680750080.

The previous prime is 9003121111. The next prime is 9003121151. The reversal of 9003121120 is 211213009.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14831857 + ... + 14832463.

It is an arithmetic number, because the mean of its divisors is an integer number (72394560).

Almost surely, 2^9003121120 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 9003121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899755520).

9003121120 is an abundant number, since it is smaller than the sum of its proper divisors (18796389920).

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

9003121120 is a wasteful number, since it uses less digits than its factorization.

9003121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 9003121120 is about 94884.7781258933. The cubic root of 9003121120 is about 2080.3242467885.

Adding to 9003121120 its reverse (211213009), we get a palindrome (9214334129).

The spelling of 9003121120 in words is "nine billion, three million, one hundred twenty-one thousand, one hundred twenty".