126116 has 12 divisors (see below), whose sum is σ = 226380. Its totient is φ = 61440.

The previous prime is 126107. The next prime is 126127. The reversal of 126116 is 611621.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 102400 = 154^2 + 320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126094 and 126103.

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 126116.

It is an unprimeable number.

126116 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 3 ways as a sum of consecutive naturals, for example, 221 + ... + 548.

It is an arithmetic number, because the mean of its divisors is an integer number (18865).

2¹²⁶¹¹⁶ is an apocalyptic number.

It is an amenable number.

126116 is a deficient number, since it is larger than the sum of its proper divisors (100264).

126116 is a wasteful number, since it uses less digits than its factorization.

126116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 812 counting only the distinct ones).

The product of its digits is 72, while the sum is 17.

The square root of 126116 is about 355.1281458854. The cubic root of 126116 is about 50.1483593546.

Adding to 126116 its reverse (611621), we get a palindrome (737737).

It can be divided in two parts, 126 and 116, that added together give a palindrome (242).

The spelling of 126116 in words is "one hundred twenty-six thousand, one hundred sixteen".