34122133023 has 24 divisors (see below), whose sum is σ = 51883964160. Its totient is φ = 19780936560.

The previous prime is 34122132997. The next prime is 34122133063. The reversal of 34122133023 is 32033122143.

It is not a de Polignac number, because 34122133023 - 2²⁰ = 34121084447 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34122132984 and 34122133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122133063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 959863 + ... + 994776.

It is an arithmetic number, because the mean of its divisors is an integer number (2161831840).

Almost surely, 2^34122133023 is an apocalyptic number.

34122133023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34122133023 is a deficient number, since it is larger than the sum of its proper divisors (17761831137).

34122133023 is a wasteful number, since it uses less digits than its factorization.

34122133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954699 (or 1954676 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34122133023 its reverse (32033122143), we get a palindrome (66155255166).

The spelling of 34122133023 in words is "thirty-four billion, one hundred twenty-two million, one hundred thirty-three thousand, twenty-three".