126442116 has 36 divisors (see below), whose sum is σ = 320474700. Its totient is φ = 42034368.

The previous prime is 126442111. The next prime is 126442123. The reversal of 126442116 is 611244621.

126442116 is a `hidden beast` number, since 1 + 2 + 644 + 2 + 1 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91584900 + 34857216 = 9570^2 + 5904^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 126442116.

It is not an unprimeable number, because it can be changed into a prime (126442111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9490 + ... + 18518.

It is an arithmetic number, because the mean of its divisors is an integer number (8902075).

Almost surely, 2^126442116 is an apocalyptic number.

It is an amenable number.

126442116 is an abundant number, since it is smaller than the sum of its proper divisors (194032584).

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

126442116 is a wasteful number, since it uses less digits than its factorization.

126442116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9428 (or 9423 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 126442116 is about 11244.6483270932. The cubic root of 126442116 is about 501.9154738823.

Adding to 126442116 its reverse (611244621), we get a palindrome (737686737).

The spelling of 126442116 in words is "one hundred twenty-six million, four hundred forty-two thousand, one hundred sixteen".