99123200 has 144 divisors (see below), whose sum is σ = 270200805. Its totient is φ = 36044800.

The previous prime is 99123179. The next prime is 99123203. The reversal of 99123200 is 232199.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 97140736 + 1982464 = 9856^2 + 1408^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7040.

It is a self number, because there is not a number n which added to its sum of digits gives 99123200.

It is not an unprimeable number, because it can be changed into a prime (99123203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9011195 + ... + 9011205.

Almost surely, 2^99123200 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 99123200

99123200 is an abundant number, since it is smaller than the sum of its proper divisors (171077605).

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

99123200 is an equidigital number, since it uses as much as digits as its factorization.

99123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 99123200 is about 9956.0634791066. The cubic root of 99123200 is about 462.7983174020.

Adding to 99123200 its reverse (232199), we get a palindrome (99355399).

The spelling of 99123200 in words is "ninety-nine million, one hundred twenty-three thousand, two hundred".