126205225 has 12 divisors (see below), whose sum is σ = 156776796. Its totient is φ = 100782080.

The previous prime is 126205223. The next prime is 126205253. The reversal of 126205225 is 522502621.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6718464 + 119486761 = 2592^2 + 10931^2 .

It is not a de Polignac number, because 126205225 - 2¹ = 126205223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126205225.

It is not an unprimeable number, because it can be changed into a prime (126205223) 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, 10569 + ... + 19081.

It is an arithmetic number, because the mean of its divisors is an integer number (13064733).

Almost surely, 2^126205225 is an apocalyptic number.

It is an amenable number.

126205225 is a deficient number, since it is larger than the sum of its proper divisors (30571571).

126205225 is an equidigital number, since it uses as much as digits as its factorization.

126205225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9116 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 126205225 is about 11234.1098890833. The cubic root of 126205225 is about 501.6018294713.

Adding to 126205225 its reverse (522502621), we get a palindrome (648707846).

The spelling of 126205225 in words is "one hundred twenty-six million, two hundred five thousand, two hundred twenty-five".