99123242400 has 1152 divisors, whose sum is σ = 445171507200. Its totient is φ = 20727705600.

The previous prime is 99123242321. The next prime is 99123242411. The reversal of 99123242400 is 424232199.

99123242400 is a `hidden beast` number, since 9 + 9 + 1 + 2 + 3 + 242 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 414741481 + ... + 414741719.

It is an arithmetic number, because the mean of its divisors is an integer number (386433600).

Almost surely, 2^99123242400 is an apocalyptic number.

99123242400 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 99123242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222585753600).

99123242400 is an abundant number, since it is smaller than the sum of its proper divisors (346048264800).

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

99123242400 is a wasteful number, since it uses less digits than its factorization.

99123242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 99123242400 its reverse (424232199), we get a palindrome (99547474599).

The spelling of 99123242400 in words is "ninety-nine billion, one hundred twenty-three million, two hundred forty-two thousand, four hundred".