4123443221312 has 112 divisors (see below), whose sum is σ = 8407510540800. Its totient is φ = 2005569994752.

The previous prime is 4123443221297. The next prime is 4123443221327. The reversal of 4123443221312 is 2131223443214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4123443221297) and next prime (4123443221327).

It is a super-2 number, since 2×4123443221312² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812178518 + ... + 812183594.

It is an arithmetic number, because the mean of its divisors is an integer number (75067058400).

Almost surely, 2^{4123443221312} 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 4123443221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203755270400).

4123443221312 is an abundant number, since it is smaller than the sum of its proper divisors (4284067319488).

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

4123443221312 is a wasteful number, since it uses less digits than its factorization.

4123443221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6718 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 4123443221312 its reverse (2131223443214), we get a palindrome (6254666664526).

The spelling of 4123443221312 in words is "four trillion, one hundred twenty-three billion, four hundred forty-three million, two hundred twenty-one thousand, three hundred twelve".