9930246120 has 384 divisors, whose sum is σ = 35097753600. Its totient is φ = 2428876800.

The previous prime is 9930246101. The next prime is 9930246121. The reversal of 9930246120 is 216420399.

9930246120 is a `hidden beast` number, since 9 + 9 + 30 + 2 + 4 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9930246121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 19741789 + ... + 19742291.

It is an arithmetic number, because the mean of its divisors is an integer number (91400400).

Almost surely, 2^9930246120 is an apocalyptic number.

9930246120 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 9930246120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

9930246120 is an abundant number, since it is smaller than the sum of its proper divisors (25167507480).

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

9930246120 is a wasteful number, since it uses less digits than its factorization.

9930246120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9930246120 is about 99650.6202690179. The cubic root of 9930246120 is about 2149.4136580286.

The spelling of 9930246120 in words is "nine billion, nine hundred thirty million, two hundred forty-six thousand, one hundred twenty".