34120001141 has 32 divisors (see below), whose sum is σ = 36153781248. Its totient is φ = 32164957440.

The previous prime is 34120001119. The next prime is 34120001143. The reversal of 34120001141 is 14110002143.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34120001141 - 2¹⁴ = 34119984757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120001143) 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 31 ways as a sum of consecutive naturals, for example, 73693076 + ... + 73693538.

It is an arithmetic number, because the mean of its divisors is an integer number (1129805664).

Almost surely, 2^34120001141 is an apocalyptic number.

It is an amenable number.

34120001141 is a deficient number, since it is larger than the sum of its proper divisors (2033780107).

34120001141 is a wasteful number, since it uses less digits than its factorization.

34120001141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 34120001141 its reverse (14110002143), we get a palindrome (48230003284).

The spelling of 34120001141 in words is "thirty-four billion, one hundred twenty million, one thousand, one hundred forty-one".