812112 has 40 divisors (see below), whose sum is σ = 2398656. Its totient is φ = 231936.

The previous prime is 812101. The next prime is 812129. The reversal of 812112 is 211218.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 812091 and 812100.

It is a congruent number.

It is an unprimeable number.

812112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873 + ... + 1544.

2⁸¹²¹¹² is an apocalyptic number.

It is an amenable number.

812112 is an abundant number, since it is smaller than the sum of its proper divisors (1586544).

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

812112 is a wasteful number, since it uses less digits than its factorization.

812112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2429 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 812112 is about 901.1725694893. The cubic root of 812112 is about 93.2979230751.

The spelling of 812112 in words is "eight hundred twelve thousand, one hundred twelve".