126565431201 has 32 divisors (see below), whose sum is σ = 204629846400. Its totient is φ = 76676451840.

The previous prime is 126565431193. The next prime is 126565431271. The reversal of 126565431201 is 102134565621.

126565431201 is a `hidden beast` number, since 12 + 6 + 5 + 6 + 5 + 431 + 201 = 666.

It is not a de Polignac number, because 126565431201 - 2³ = 126565431193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126565431271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693205 + ... + 856541.

It is an arithmetic number, because the mean of its divisors is an integer number (6394682700).

Almost surely, 2^126565431201 is an apocalyptic number.

126565431201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126565431201 is a deficient number, since it is larger than the sum of its proper divisors (78064415199).

126565431201 is a wasteful number, since it uses less digits than its factorization.

126565431201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165966 (or 165960 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 126565431201 its reverse (102134565621), we get a palindrome (228699996822).

It can be divided in two parts, 1265654 and 31201, that added together give a triangular number (1296855 = T₁₆₁₀).

The spelling of 126565431201 in words is "one hundred twenty-six billion, five hundred sixty-five million, four hundred thirty-one thousand, two hundred one".