126006320061 has 96 divisors (see below), whose sum is σ = 195769042560. Its totient is φ = 80951270400.

The previous prime is 126006320009. The next prime is 126006320071. The reversal of 126006320061 is 160023600621.

126006320061 is a `hidden beast` number, since 1 + 26 + 0 + 0 + 632 + 0 + 0 + 6 + 1 = 666.

It is not a de Polignac number, because 126006320061 - 2¹⁰ = 126006319037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126006320071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241854481 + ... + 241855001.

It is an arithmetic number, because the mean of its divisors is an integer number (2039260860).

Almost surely, 2^126006320061 is an apocalyptic number.

It is an amenable number.

126006320061 is a deficient number, since it is larger than the sum of its proper divisors (69762722499).

126006320061 is an equidigital number, since it uses as much as digits as its factorization.

126006320061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 126006320061 its reverse (160023600621), we get a palindrome (286029920682).

The spelling of 126006320061 in words is "one hundred twenty-six billion, six million, three hundred twenty thousand, sixty-one".