9023212800 has 972 divisors, whose sum is σ = 39440288160. Its totient is φ = 1958584320.

The previous prime is 9023212789. The next prime is 9023212813. The reversal of 9023212800 is 82123209.

It is a happy number.

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 107 ways as a sum of consecutive naturals, for example, 64915131 + ... + 64915269.

Almost surely, 2^9023212800 is an apocalyptic number.

9023212800 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 9023212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19720144080).

9023212800 is an abundant number, since it is smaller than the sum of its proper divisors (30417075360).

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

9023212800 is a wasteful number, since it uses less digits than its factorization.

9023212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9023212800 is about 94990.5932184866. The cubic root of 9023212800 is about 2081.8706051739.

The spelling of 9023212800 in words is "nine billion, twenty-three million, two hundred twelve thousand, eight hundred".