8992961321120 has 144 divisors (see below), whose sum is σ = 24716728061928. Its totient is φ = 3083033640960.

The previous prime is 8992961321111. The next prime is 8992961321137. The reversal of 8992961321120 is 211231692998.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4731164415376 + 4261796905744 = 2175124^2 + 2064412^2 .

It is a super-3 number, since 3×8992961321120³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104330840 + ... + 104417000.

Almost surely, 2^{8992961321120} is an apocalyptic number.

8992961321120 is a gapful number since it is divisible by the number (80) 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 8992961321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12358364030964).

8992961321120 is an abundant number, since it is smaller than the sum of its proper divisors (15723766740808).

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

8992961321120 is a wasteful number, since it uses less digits than its factorization.

8992961321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99503 (or 99488 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 53.

The spelling of 8992961321120 in words is "eight trillion, nine hundred ninety-two billion, nine hundred sixty-one million, three hundred twenty-one thousand, one hundred twenty".