4442124121300 has 108 divisors (see below), whose sum is σ = 10242243556020. Its totient is φ = 1671928033280.

The previous prime is 4442124121229. The next prime is 4442124121333. The reversal of 4442124121300 is 31214212444.

It can be written as a sum of positive squares in 18 ways, for example, as 270146299536 + 4171977821764 = 519756^2 + 2042542^2 .

It is a super-2 number, since 2×4442124121300² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 138501666 + ... + 138533734.

Almost surely, 2^{4442124121300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442124121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121121778010).

4442124121300 is an abundant number, since it is smaller than the sum of its proper divisors (5800119434720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4442124121300 is a wasteful number, since it uses less digits than its factorization.

4442124121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36910 (or 36886 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4442124121300 its reverse (31214212444), we get a palindrome (4473338333744).

The spelling of 4442124121300 in words is "four trillion, four hundred forty-two billion, one hundred twenty-four million, one hundred twenty-one thousand, three hundred".