822120999200 has 54 divisors (see below), whose sum is σ = 2007065498571. Its totient is φ = 328838141440.

The previous prime is 822120999143. The next prime is 822120999239. The reversal of 822120999200 is 2999021228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 793831104784 + 28289894416 = 890972^2 + 168196^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=641140.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25629572 + ... + 25661628.

Almost surely, 2^822120999200 is an apocalyptic number.

822120999200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

822120999200 is an abundant number, since it is smaller than the sum of its proper divisors (1184944499371).

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

822120999200 is an frugal number, since it uses more digits than its factorization.

822120999200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64134 (or 32064 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 822120999200 in words is "eight hundred twenty-two billion, one hundred twenty million, nine hundred ninety-nine thousand, two hundred".