912214800 has 360 divisors, whose sum is σ = 3691531584. Its totient is φ = 204272640.

The previous prime is 912214763. The next prime is 912214829. The reversal of 912214800 is 8412219.

912214800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1335259 + ... + 1335941.

Almost surely, 2^912214800 is an apocalyptic number.

912214800 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 912214800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845765792).

912214800 is an abundant number, since it is smaller than the sum of its proper divisors (2779316784).

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

912214800 is a wasteful number, since it uses less digits than its factorization.

912214800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 912214800 is about 30202.8939010817. The cubic root of 912214800 is about 969.8376459773.

The spelling of 912214800 in words is "nine hundred twelve million, two hundred fourteen thousand, eight hundred".