126112 has 24 divisors (see below), whose sum is σ = 284256. Its totient is φ = 53952.

The previous prime is 126107. The next prime is 126127. The reversal of 126112 is 211621.

126112 = T₂₈ + T₂₉ + ... + T₉₁.

It is a junction number, because it is equal to n+sod(n) for n = 126092 and 126101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (11844).

2¹²⁶¹¹² is an apocalyptic number.

It is an amenable number.

126112 is an abundant number, since it is smaller than the sum of its proper divisors (158144).

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

126112 is an equidigital number, since it uses as much as digits as its factorization.

126112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its digits is 24, while the sum is 13.

The square root of 126112 is about 355.1225140708. The cubic root of 126112 is about 50.1478291667.

Adding to 126112 its reverse (211621), we get a palindrome (337733).

The spelling of 126112 in words is "one hundred twenty-six thousand, one hundred twelve".