22301442124401 has 64 divisors (see below), whose sum is σ = 33608180736000. Its totient is φ = 13030075860480.

The previous prime is 22301442124399. The next prime is 22301442124469. The reversal of 22301442124401 is 10442124410322.

It is not a de Polignac number, because 22301442124401 - 2¹ = 22301442124399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22301442124201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3920095965 + ... + 3920101653.

It is an arithmetic number, because the mean of its divisors is an integer number (525127824000).

Almost surely, 2^{22301442124401} is an apocalyptic number.

It is an amenable number.

22301442124401 is a deficient number, since it is larger than the sum of its proper divisors (11306738611599).

22301442124401 is a wasteful number, since it uses less digits than its factorization.

22301442124401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11254.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 22301442124401 its reverse (10442124410322), we get a palindrome (32743566534723).

The spelling of 22301442124401 in words is "twenty-two trillion, three hundred one billion, four hundred forty-two million, one hundred twenty-four thousand, four hundred one".