99309120019200 has 648 divisors, whose sum is σ = 436987737015648. Its totient is φ = 20953131909120.

The previous prime is 99309120019199. The next prime is 99309120019201. The reversal of 99309120019200 is 291002190399.

99309120019200 is a `hidden beast` number, since 9 + 9 + 309 + 120 + 0 + 19 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (99309120019199) and next prime (99309120019201).

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 (99309120019201) 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 71 ways as a sum of consecutive naturals, for example, 4231569 + ... + 14714768.

Almost surely, 2^{99309120019200} is an apocalyptic number.

99309120019200 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 99309120019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218493868507824).

99309120019200 is an abundant number, since it is smaller than the sum of its proper divisors (337678616996448).

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

99309120019200 is a wasteful number, since it uses less digits than its factorization.

99309120019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18946389 (or 18946367 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 99309120019200 in words is "ninety-nine trillion, three hundred nine billion, one hundred twenty million, nineteen thousand, two hundred".