12822192 has 80 divisors (see below), whose sum is σ = 37438080. Its totient is φ = 4200768.

The previous prime is 12822191. The next prime is 12822193. The reversal of 12822192 is 29122821.

It is an interprime number because it is at equal distance from previous prime (12822191) and next prime (12822193).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (12822191) by changing a digit.

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, 28723 + ... + 29165.

It is an arithmetic number, because the mean of its divisors is an integer number (467976).

Almost surely, 2^12822192 is an apocalyptic number.

12822192 is a gapful number since it is divisible by the number (12) 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 12822192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18719040).

12822192 is an abundant number, since it is smaller than the sum of its proper divisors (24615888).

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

12822192 is a wasteful number, since it uses less digits than its factorization.

12822192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 12822192 is about 3580.8088471741. The cubic root of 12822192 is about 234.0565280921.

The spelling of 12822192 in words is "twelve million, eight hundred twenty-two thousand, one hundred ninety-two".