9997800120 has 384 divisors, whose sum is σ = 40923118080. Its totient is φ = 2056320000.

The previous prime is 9997800077. The next prime is 9997800151. The reversal of 9997800120 is 210087999.

9997800120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 99989²-1.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2797935 + ... + 2801505.

It is an arithmetic number, because the mean of its divisors is an integer number (106570620).

Almost surely, 2^9997800120 is an apocalyptic number.

9997800120 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 9997800120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20461559040).

9997800120 is an abundant number, since it is smaller than the sum of its proper divisors (30925317960).

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

9997800120 is a wasteful number, since it uses less digits than its factorization.

9997800120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 9997800120 is about 99988.9999949994. Note that the first 5 decimals coincide. The cubic root of 9997800120 is about 2154.2766951861.

The spelling of 9997800120 in words is "nine billion, nine hundred ninety-seven million, eight hundred thousand, one hundred twenty".