99912355200 has 1152 divisors, whose sum is σ = 437357721600. Its totient is φ = 21797683200.

The previous prime is 99912355159. The next prime is 99912355217. The reversal of 99912355200 is 255321999.

99912355200 is a `hidden beast` number, since 9 + 9 + 91 + 2 + 3 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×99912355200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1368662364 + ... + 1368662436.

It is an arithmetic number, because the mean of its divisors is an integer number (379650800).

Almost surely, 2^99912355200 is an apocalyptic number.

99912355200 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 99912355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218678860800).

99912355200 is an abundant number, since it is smaller than the sum of its proper divisors (337445366400).

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

99912355200 is a wasteful number, since it uses less digits than its factorization.

99912355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 99912355200 in words is "ninety-nine billion, nine hundred twelve million, three hundred fifty-five thousand, two hundred".