126030462816241 has 9 divisors (see below), whose sum is σ = 126142027651713. Its totient is φ = 125918996595600.

The previous prime is 126030462816169. The next prime is 126030462816289. The reversal of 126030462816241 is 142618264030621.

The square root of 126030462816241 is 11226329.

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 24958806982641 + 101071655833600 = 4995879^2 + 10053440^2 .

It is not a de Polignac number, because 126030462816241 - 2¹³ = 126030462808049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 126030462816191 and 126030462816200.

It is not an unprimeable number, because it can be changed into a prime (126030462886241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14605449715 + ... + 14605458343.

Almost surely, 2^{126030462816241} is an apocalyptic number.

126030462816241 is the 11226329-th square number.

126030462816241 is the 5613165-th centered octagonal number.

It is an amenable number.

126030462816241 is a deficient number, since it is larger than the sum of its proper divisors (111564835472).

126030462816241 is an frugal number, since it uses more digits than its factorization.

126030462816241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19860 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 126030462816241 in words is "one hundred twenty-six trillion, thirty billion, four hundred sixty-two million, eight hundred sixteen thousand, two hundred forty-one".