34016125121 has 24 divisors (see below), whose sum is σ = 39217422720. Its totient is φ = 29447621280.

The previous prime is 34016125021. The next prime is 34016125123. The reversal of 34016125121 is 12152161043.

It is not a de Polignac number, because 34016125121 - 2³⁰ = 32942383297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34016125123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129590 + ... + 291248.

It is an arithmetic number, because the mean of its divisors is an integer number (1634059280).

Almost surely, 2^34016125121 is an apocalyptic number.

It is an amenable number.

34016125121 is a deficient number, since it is larger than the sum of its proper divisors (5201297599).

34016125121 is a wasteful number, since it uses less digits than its factorization.

34016125121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161765 (or 161754 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 34016125121 its reverse (12152161043), we get a palindrome (46168286164).

The spelling of 34016125121 in words is "thirty-four billion, sixteen million, one hundred twenty-five thousand, one hundred twenty-one".