127116 has 48 divisors (see below), whose sum is σ = 362880. Its totient is φ = 38160.

The previous prime is 127103. The next prime is 127123. The reversal of 127116 is 611721.

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

It is a plaindrome in base 14.

It is an unprimeable number.

127116 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 15 ways as a sum of consecutive naturals, for example, 1135 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹²⁷¹¹⁶ 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 127116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

127116 is an abundant number, since it is smaller than the sum of its proper divisors (235764).

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

127116 is a wasteful number, since it uses less digits than its factorization.

127116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 127116 is about 356.5333084019. The cubic root of 127116 is about 50.2805561538.

Adding to 127116 its reverse (611721), we get a palindrome (738837).

It can be divided in two parts, 127 and 116, that added together give a 5-th power (243 = 3⁵).

The spelling of 127116 in words is "one hundred twenty-seven thousand, one hundred sixteen".