9982132293120 has 320 divisors, whose sum is σ = 35474973456384. Its totient is φ = 2377876930560.

The previous prime is 9982132293011. The next prime is 9982132293143. The reversal of 9982132293120 is 213922312899.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1482439 + ... + 4707641.

Almost surely, 2^{9982132293120} 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 9982132293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17737486728192).

9982132293120 is an abundant number, since it is smaller than the sum of its proper divisors (25492841163264).

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

9982132293120 is a wasteful number, since it uses less digits than its factorization.

9982132293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225273 (or 3225257 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 9982132293120 in words is "nine trillion, nine hundred eighty-two billion, one hundred thirty-two million, two hundred ninety-three thousand, one hundred twenty".