44212122121244 has 72 divisors (see below), whose sum is σ = 98187615494640. Its totient is φ = 17225106796800.

The previous prime is 44212122121217. The next prime is 44212122121249.

44212122121244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44212122121244² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44212122121244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44212122121249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104546864 + ... + 104968904.

It is an arithmetic number, because the mean of its divisors is an integer number (1363716881870).

Almost surely, 2^{44212122121244} is an apocalyptic number.

44212122121244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44212122121244 is an abundant number, since it is smaller than the sum of its proper divisors (53975493373396).

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

44212122121244 is a wasteful number, since it uses less digits than its factorization.

44212122121244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470659 (or 470650 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 4421212 and 2121244, that added together give a palindrome (6542456).

The spelling of 44212122121244 in words is "forty-four trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred forty-four".