1123220442344 has 256 divisors, whose sum is σ = 2879670528000. Its totient is φ = 396548951040.

The previous prime is 1123220442341. The next prime is 1123220442347. The reversal of 1123220442344 is 4432440223211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1123220442341) and next prime (1123220442347).

It is a self number, because there is not a number n which added to its sum of digits gives 1123220442344.

It is not an unprimeable number, because it can be changed into a prime (1123220442341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481447802 + ... + 481450134.

It is an arithmetic number, because the mean of its divisors is an integer number (11248713000).

Almost surely, 2^{1123220442344} is an apocalyptic number.

1123220442344 is a gapful number since it is divisible by the number (14) 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 1123220442344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439835264000).

1123220442344 is an abundant number, since it is smaller than the sum of its proper divisors (1756450085656).

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

1123220442344 is a wasteful number, since it uses less digits than its factorization.

1123220442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1123220442344 its reverse (4432440223211), we get a palindrome (5555660665555).

The spelling of 1123220442344 in words is "one trillion, one hundred twenty-three billion, two hundred twenty million, four hundred forty-two thousand, three hundred forty-four".