812173120 has 112 divisors (see below), whose sum is σ = 2123236800. Its totient is φ = 293457920.

The previous prime is 812173111. The next prime is 812173151. The reversal of 812173120 is 21371218.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629436 + ... + 630724.

Almost surely, 2^812173120 is an apocalyptic number.

812173120 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 812173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061618400).

812173120 is an abundant number, since it is smaller than the sum of its proper divisors (1311063680).

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

812173120 is a wasteful number, since it uses less digits than its factorization.

812173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 812173120 is about 28498.6511961531. The cubic root of 812173120 is about 933.0026356759.

The spelling of 812173120 in words is "eight hundred twelve million, one hundred seventy-three thousand, one hundred twenty".