126810121 has 3 divisors (see below), whose sum is σ = 126821383. Its totient is φ = 126798860.

The previous prime is 126810091. The next prime is 126810133. The reversal of 126810121 is 121018621.

The square root of 126810121 is 11261.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 125686521 + 1123600 = 11211^2 + 1060^2 .

It is not a de Polignac number, because 126810121 - 2⁷ = 126809993 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 126810092 and 126810101.

It is not an unprimeable number, because it can be changed into a prime (126810221) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5631 + ... + 16891.

Almost surely, 2^126810121 is an apocalyptic number.

126810121 is the 11261-st square number.

126810121 is the 5631-st centered octagonal number.

It is an amenable number.

126810121 is a deficient number, since it is larger than the sum of its proper divisors (11262).

126810121 is an frugal number, since it uses more digits than its factorization.

126810121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22522 (or 11261 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The cubic root of 126810121 is about 502.4019375817.

Adding to 126810121 its reverse (121018621), we get a palindrome (247828742).

The spelling of 126810121 in words is "one hundred twenty-six million, eight hundred ten thousand, one hundred twenty-one".