812124 has 36 divisors (see below), whose sum is σ = 2175264. Its totient is φ = 254592.

The previous prime is 812101. The next prime is 812129. The reversal of 812124 is 421218.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 812097 and 812106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812129) by changing a digit.

812124 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (60424).

2⁸¹²¹²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087632).

812124 is an abundant number, since it is smaller than the sum of its proper divisors (1363140).

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

812124 is a wasteful number, since it uses less digits than its factorization.

812124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1349 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 812124 is about 901.1792274570. The cubic root of 812124 is about 93.2983826052.

The spelling of 812124 in words is "eight hundred twelve thousand, one hundred twenty-four".