34122122122143 has 32 divisors (see below), whose sum is σ = 49829596008192. Its totient is φ = 20597830246400.

The previous prime is 34122122122117. The next prime is 34122122122159.

34122122122143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34122122122143 - 2³⁶ = 34053402645407 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34122122122143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122122123143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101697805 + ... + 102032777.

It is an arithmetic number, because the mean of its divisors is an integer number (1557174875256).

Almost surely, 2^{34122122122143} is an apocalyptic number.

34122122122143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34122122122143 is a deficient number, since it is larger than the sum of its proper divisors (15707473886049).

34122122122143 is a wasteful number, since it uses less digits than its factorization.

34122122122143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347255.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 3412212 and 2122143, that added together give a palindrome (5534355).

The spelling of 34122122122143 in words is "thirty-four trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred forty-three".