12817224 has 128 divisors (see below), whose sum is σ = 41760000. Its totient is φ = 3640896.

The previous prime is 12817213. The next prime is 12817307. The reversal of 12817224 is 42271821.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74002 + ... + 74174.

It is an arithmetic number, because the mean of its divisors is an integer number (326250).

Almost surely, 2^12817224 is an apocalyptic number.

12817224 is a gapful number since it is divisible by the number (14) 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 12817224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20880000).

12817224 is an abundant number, since it is smaller than the sum of its proper divisors (28942776).

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

12817224 is a wasteful number, since it uses less digits than its factorization.

12817224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 12817224 is about 3580.1150819492. The cubic root of 12817224 is about 234.0262955328.

It can be divided in two parts, 12817 and 224, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12817224 in words is "twelve million, eight hundred seventeen thousand, two hundred twenty-four".