34122414312 has 96 divisors (see below), whose sum is σ = 106059283200. Its totient is φ = 9708435072.

The previous prime is 34122414311. The next prime is 34122414323. The reversal of 34122414312 is 21341422143.

34122414312 is a `hidden beast` number, since 3 + 4 + 1 + 224 + 1 + 431 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34122414311) 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, 21183 + ... + 262094.

It is an arithmetic number, because the mean of its divisors is an integer number (1104784200).

Almost surely, 2^34122414312 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 34122414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53029641600).

34122414312 is an abundant number, since it is smaller than the sum of its proper divisors (71936868888).

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

34122414312 is a wasteful number, since it uses less digits than its factorization.

34122414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283535 (or 283528 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 34122414312 its reverse (21341422143), we get a palindrome (55463836455).

The spelling of 34122414312 in words is "thirty-four billion, one hundred twenty-two million, four hundred fourteen thousand, three hundred twelve".