127218 has 32 divisors (see below), whose sum is σ = 314496. Its totient is φ = 33408.

The previous prime is 127217. The next prime is 127219. The reversal of 127218 is 812721.

It is an interprime number because it is at equal distance from previous prime (127217) and next prime (127219).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 127194 and 127203.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 127218.

It is not an unprimeable number, because it can be changed into a prime (127217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430 + ... + 662.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2¹²⁷²¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

127218 is an abundant number, since it is smaller than the sum of its proper divisors (187278).

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

127218 is a wasteful number, since it uses less digits than its factorization.

127218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258.

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

The square root of 127218 is about 356.6763238568. The cubic root of 127218 is about 50.2940012108.

Adding to 127218 its reverse (812721), we get a palindrome (939939).

The spelling of 127218 in words is "one hundred twenty-seven thousand, two hundred eighteen".