126624023201 has 24 divisors (see below), whose sum is σ = 146140028664. Its totient is φ = 109034311680.

The previous prime is 126624023177. The next prime is 126624023209. The reversal of 126624023201 is 102320426621.

It can be written as a sum of positive squares in 12 ways, for example, as 33754508176 + 92869515025 = 183724^2 + 304745^2 .

It is not a de Polignac number, because 126624023201 - 2¹⁰ = 126624022177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126624023209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275411 + ... + 573671.

It is an arithmetic number, because the mean of its divisors is an integer number (6089167861).

Almost surely, 2^126624023201 is an apocalyptic number.

It is an amenable number.

126624023201 is a deficient number, since it is larger than the sum of its proper divisors (19516005463).

126624023201 is a wasteful number, since it uses less digits than its factorization.

126624023201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298421 (or 298404 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 126624023201 its reverse (102320426621), we get a palindrome (228944449822).

The spelling of 126624023201 in words is "one hundred twenty-six billion, six hundred twenty-four million, twenty-three thousand, two hundred one".