442242123201 has 12 divisors (see below), whose sum is σ = 638846479440. Its totient is φ = 294803943000.

The previous prime is 442242123181. The next prime is 442242123217. The reversal of 442242123201 is 102321242244.

It is a happy number.

442242123201 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 421 + 232 + 0 + 1 = 666.

It is not a de Polignac number, because 442242123201 - 2⁷ = 442242123073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442242523201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1895211 + ... + 2115728.

It is an arithmetic number, because the mean of its divisors is an integer number (53237206620).

Almost surely, 2^442242123201 is an apocalyptic number.

It is an amenable number.

442242123201 is a deficient number, since it is larger than the sum of its proper divisors (196604356239).

442242123201 is a wasteful number, since it uses less digits than its factorization.

442242123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023196 (or 4023193 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 442242123201 its reverse (102321242244), we get a palindrome (544563365445).

The spelling of 442242123201 in words is "four hundred forty-two billion, two hundred forty-two million, one hundred twenty-three thousand, two hundred one".