34122322141224 has 128 divisors (see below), whose sum is σ = 91814767228800. Its totient is φ = 10528373514240.

The previous prime is 34122322141097. The next prime is 34122322141231. The reversal of 34122322141224 is 42214122322143.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237533932 + ... + 237677540.

It is an arithmetic number, because the mean of its divisors is an integer number (717302868975).

Almost surely, 2^{34122322141224} is an apocalyptic number.

34122322141224 is a gapful number since it is divisible by the number (34) 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 34122322141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45907383614400).

34122322141224 is an abundant number, since it is smaller than the sum of its proper divisors (57692445087576).

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

34122322141224 is a wasteful number, since it uses less digits than its factorization.

34122322141224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153243 (or 153239 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 34122322141224 its reverse (42214122322143), we get a palindrome (76336444463367).

The spelling of 34122322141224 in words is "thirty-four trillion, one hundred twenty-two billion, three hundred twenty-two million, one hundred forty-one thousand, two hundred twenty-four".