126063416125 has 32 divisors (see below), whose sum is σ = 157941175392. Its totient is φ = 100457856000.

The previous prime is 126063416117. The next prime is 126063416161. The reversal of 126063416125 is 521614360621.

It can be written as a sum of positive squares in 16 ways, for example, as 126045590841 + 17825284 = 355029^2 + 4222^2 .

It is not a de Polignac number, because 126063416125 - 2³ = 126063416117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72407755 + ... + 72409495.

It is an arithmetic number, because the mean of its divisors is an integer number (4935661731).

Almost surely, 2^126063416125 is an apocalyptic number.

It is an amenable number.

126063416125 is a deficient number, since it is larger than the sum of its proper divisors (31877759267).

126063416125 is a wasteful number, since it uses less digits than its factorization.

126063416125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

Adding to 126063416125 its reverse (521614360621), we get a palindrome (647677776746).

The spelling of 126063416125 in words is "one hundred twenty-six billion, sixty-three million, four hundred sixteen thousand, one hundred twenty-five".