9121986720 has 864 divisors, whose sum is σ = 40698612864. Its totient is φ = 1888634880.

The previous prime is 9121986689. The next prime is 9121986733. The reversal of 9121986720 is 276891219.

9121986720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 32931222 + ... + 32931498.

It is an arithmetic number, because the mean of its divisors is an integer number (47104876).

Almost surely, 2^9121986720 is an apocalyptic number.

9121986720 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 9121986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20349306432).

9121986720 is an abundant number, since it is smaller than the sum of its proper divisors (31576626144).

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

9121986720 is a wasteful number, since it uses less digits than its factorization.

9121986720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 9121986720 is about 95509.0923420383. The cubic root of 9121986720 is about 2089.4395542511.

The spelling of 9121986720 in words is "nine billion, one hundred twenty-one million, nine hundred eighty-six thousand, seven hundred twenty".