12820170 has 64 divisors (see below), whose sum is σ = 34245504. Its totient is φ = 3045120.

The previous prime is 12820151. The next prime is 12820201. The reversal of 12820170 is 7102821.

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 31 ways as a sum of consecutive naturals, for example, 17124 + ... + 17856.

It is an arithmetic number, because the mean of its divisors is an integer number (535086).

Almost surely, 2^12820170 is an apocalyptic number.

12820170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12820170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122752).

12820170 is an abundant number, since it is smaller than the sum of its proper divisors (21425334).

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

12820170 is a wasteful number, since it uses less digits than its factorization.

12820170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 12820170 is about 3580.5264975978. The cubic root of 12820170 is about 234.0442242369.

Adding to 12820170 its reverse (7102821), we get a palindrome (19922991).

It can be divided in two parts, 128201 and 70, that added together give a triangular number (128271 = T₅₀₆).

The spelling of 12820170 in words is "twelve million, eight hundred twenty thousand, one hundred seventy".