12442146324301 has 16 divisors (see below), whose sum is σ = 13424323496688. Its totient is φ = 11487835340800.

The previous prime is 12442146324299. The next prime is 12442146324323. The reversal of 12442146324301 is 10342364124421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 265194100900 + 12176952223401 = 514970^2 + 3489549^2 .

It is a cyclic number.

It is not a de Polignac number, because 12442146324301 - 2¹ = 12442146324299 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442146321301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6184161 + ... + 7945321.

It is an arithmetic number, because the mean of its divisors is an integer number (839020218543).

Almost surely, 2^{12442146324301} is an apocalyptic number.

It is an amenable number.

12442146324301 is a deficient number, since it is larger than the sum of its proper divisors (982177172387).

12442146324301 is a wasteful number, since it uses less digits than its factorization.

12442146324301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769072.

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 12442146324301 in words is "twelve trillion, four hundred forty-two billion, one hundred forty-six million, three hundred twenty-four thousand, three hundred one".