126711081225 has 81 divisors (see below), whose sum is σ = 239719162293. Its totient is φ = 63971182080.

The previous prime is 126711081193. The next prime is 126711081227. The reversal of 126711081225 is 522180117621.

It is a happy number.

The square root of 126711081225 is 355965.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6765227001 + 119945854224 = 82251^2 + 346332^2 .

It is not a de Polignac number, because 126711081225 - 2⁵ = 126711081193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 126711081225.

It is not an unprimeable number, because it can be changed into a prime (126711081227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 101449401 + ... + 101450649.

Almost surely, 2^126711081225 is an apocalyptic number.

126711081225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126711081225 is the 355965-th square number.

126711081225 is the 177983-rd centered octagonal number.

It is an amenable number.

126711081225 is a deficient number, since it is larger than the sum of its proper divisors (113008081068).

126711081225 is an equidigital number, since it uses as much as digits as its factorization.

126711081225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Multiplying 126711081225 by its sum of digits (36), we get a square (4561598924100 = 2135790²).

Adding to 126711081225 its reverse (522180117621), we get a palindrome (648891198846).

The spelling of 126711081225 in words is "one hundred twenty-six billion, seven hundred eleven million, eighty-one thousand, two hundred twenty-five".