44312122121344 has 128 divisors (see below), whose sum is σ = 110069971470720. Its totient is φ = 17263048458240.

The previous prime is 44312122121297. The next prime is 44312122121381.

44312122121344 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124372384 + ... + 124728160.

It is an arithmetic number, because the mean of its divisors is an integer number (859921652115).

Almost surely, 2^{44312122121344} is an apocalyptic number.

44312122121344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44312122121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55034985735360).

44312122121344 is an abundant number, since it is smaller than the sum of its proper divisors (65757849349376).

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

44312122121344 is a wasteful number, since it uses less digits than its factorization.

44312122121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368446 (or 368434 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 4431212 and 2121344, that added together give a palindrome (6552556).

The spelling of 44312122121344 in words is "forty-four trillion, three hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, three hundred forty-four".