812841120 has 288 divisors, whose sum is σ = 3414483072. Its totient is φ = 171472896.

The previous prime is 812841103. The next prime is 812841167. The reversal of 812841120 is 21148218.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×812841120⁴ (a number of 37 digits) contains 4444 as substring.

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 47 ways as a sum of consecutive naturals, for example, 127939 + ... + 134141.

It is an arithmetic number, because the mean of its divisors is an integer number (11855844).

Almost surely, 2^812841120 is an apocalyptic number.

812841120 is a gapful number since it is divisible by the number (80) 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 812841120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707241536).

812841120 is an abundant number, since it is smaller than the sum of its proper divisors (2601641952).

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

812841120 is a wasteful number, since it uses less digits than its factorization.

812841120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 812841120 is about 28510.3686401983. The cubic root of 812841120 is about 933.2583590569.

Adding to 812841120 its reverse (21148218), we get a palindrome (833989338).

The spelling of 812841120 in words is "eight hundred twelve million, eight hundred forty-one thousand, one hundred twenty".