34122122424 has 128 divisors (see below), whose sum is σ = 108079272000. Its totient is φ = 9881505792.

The previous prime is 34122122413. The next prime is 34122122453. The reversal of 34122122424 is 42422122143.

It is a happy number.

34122122424 is a `hidden beast` number, since 3 + 412 + 2 + 1 + 2 + 242 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309669 + ... + 405140.

Almost surely, 2^34122122424 is an apocalyptic number.

34122122424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34122122424 is an abundant number, since it is smaller than the sum of its proper divisors (73957149576).

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

34122122424 is a wasteful number, since it uses less digits than its factorization.

34122122424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714854 (or 714844 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 34122122424 its reverse (42422122143), we get a palindrome (76544244567).

The spelling of 34122122424 in words is "thirty-four billion, one hundred twenty-two million, one hundred twenty-two thousand, four hundred twenty-four".