126503201 has 12 divisors (see below), whose sum is σ = 139795236. Its totient is φ = 114385920.

The previous prime is 126503149. The next prime is 126503213. The reversal of 126503201 is 102305621.

It can be written as a sum of positive squares in 2 ways, for example, as 19360000 + 107143201 = 4400^2 + 10351^2 .

It is not a de Polignac number, because 126503201 - 2¹⁰ = 126502177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126503231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20645 + ... + 26061.

It is an arithmetic number, because the mean of its divisors is an integer number (11649603).

Almost surely, 2^126503201 is an apocalyptic number.

126503201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126503201 is a deficient number, since it is larger than the sum of its proper divisors (13292035).

126503201 is a wasteful number, since it uses less digits than its factorization.

126503201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 126503201 is about 11247.3641801090. The cubic root of 126503201 is about 501.9962870685.

Adding to 126503201 its reverse (102305621), we get a palindrome (228808822).

It can be divided in two parts, 12650 and 3201, that added together give a palindrome (15851).

The spelling of 126503201 in words is "one hundred twenty-six million, five hundred three thousand, two hundred one".