9912067200 has 672 divisors, whose sum is σ = 42025762560. Its totient is φ = 2261882880.

The previous prime is 9912067199. The next prime is 9912067219. The reversal of 9912067200 is 27602199.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16329297 + ... + 16329903.

Almost surely, 2^9912067200 is an apocalyptic number.

9912067200 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 9912067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012881280).

9912067200 is an abundant number, since it is smaller than the sum of its proper divisors (32113695360).

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

9912067200 is an equidigital number, since it uses as much as digits as its factorization.

9912067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9912067200 is about 99559.3652048867. The cubic root of 9912067200 is about 2148.1012405077.

Adding to 9912067200 its reverse (27602199), we get a palindrome (9939669399).

The spelling of 9912067200 in words is "nine billion, nine hundred twelve million, sixty-seven thousand, two hundred".