34242433213121 has 64 divisors (see below), whose sum is σ = 41420422020096. Its totient is φ = 27703826841600.

The previous prime is 34242433213073. The next prime is 34242433213139. The reversal of 34242433213121 is 12131233424243.

It is a happy number.

It is not a de Polignac number, because 34242433213121 - 2³⁸ = 33967555306177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34242433213321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229569356 + ... + 229718466.

It is an arithmetic number, because the mean of its divisors is an integer number (647194094064).

Almost surely, 2^{34242433213121} is an apocalyptic number.

It is an amenable number.

34242433213121 is a deficient number, since it is larger than the sum of its proper divisors (7177988806975).

34242433213121 is a wasteful number, since it uses less digits than its factorization.

34242433213121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149442.

The product of its digits is 82944, while the sum is 35.

Adding to 34242433213121 its reverse (12131233424243), we get a palindrome (46373666637364).

The spelling of 34242433213121 in words is "thirty-four trillion, two hundred forty-two billion, four hundred thirty-three million, two hundred thirteen thousand, one hundred twenty-one".