122314334412444 has 192 divisors, whose sum is σ = 305834012209152. Its totient is φ = 37979572377600.

The previous prime is 122314334412421. The next prime is 122314334412449. The reversal of 122314334412444 is 444214433413221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122314334412396 and 122314334412405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122314334412449) 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, 958234594 + ... + 958362230.

It is an arithmetic number, because the mean of its divisors is an integer number (1592885480256).

Almost surely, 2^{122314334412444} is an apocalyptic number.

It is an amenable number.

122314334412444 is an abundant number, since it is smaller than the sum of its proper divisors (183519677796708).

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

122314334412444 is a wasteful number, since it uses less digits than its factorization.

122314334412444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128556 (or 128554 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

Adding to 122314334412444 its reverse (444214433413221), we get a palindrome (566528767825665).

The spelling of 122314334412444 in words is "one hundred twenty-two trillion, three hundred fourteen billion, three hundred thirty-four million, four hundred twelve thousand, four hundred forty-four".