9912268800 has 648 divisors, whose sum is σ = 41389147800. Its totient is φ = 2260500480.

The previous prime is 9912268777. The next prime is 9912268811. The reversal of 9912268800 is 88622199.

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 polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 22578981 + ... + 22579419.

Almost surely, 2^9912268800 is an apocalyptic number.

9912268800 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 9912268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20694573900).

9912268800 is an abundant number, since it is smaller than the sum of its proper divisors (31476879000).

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

9912268800 is a wasteful number, since it uses less digits than its factorization.

9912268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 9912268800 is about 99560.3776609952. The cubic root of 9912268800 is about 2148.1158037085.

The spelling of 9912268800 in words is "nine billion, nine hundred twelve million, two hundred sixty-eight thousand, eight hundred".