9923721091200 has 2304 divisors, whose sum is σ = 45222545571840. Its totient is φ = 2098848153600.

The previous prime is 9923721091187. The next prime is 9923721091201. The reversal of 9923721091200 is 21901273299.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (9923721091201) 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 287 ways as a sum of consecutive naturals, for example, 3881000322 + ... + 3881002878.

It is an arithmetic number, because the mean of its divisors is an integer number (19627840960).

Almost surely, 2^{9923721091200} is an apocalyptic number.

9923721091200 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 9923721091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22611272785920).

9923721091200 is an abundant number, since it is smaller than the sum of its proper divisors (35298824480640).

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

9923721091200 is a wasteful number, since it uses less digits than its factorization.

9923721091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 9923721091200 in words is "nine trillion, nine hundred twenty-three billion, seven hundred twenty-one million, ninety-one thousand, two hundred".