34122033022143 has 8 divisors (see below), whose sum is σ = 49632048032256. Its totient is φ = 20680020013400.

The previous prime is 34122033022061. The next prime is 34122033022171.

It is a happy number.

34122033022143 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34122033022143 - 2¹⁷ = 34122032891071 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34122033022143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122033022193) 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 7 ways as a sum of consecutive naturals, for example, 517000500303 + ... + 517000500368.

It is an arithmetic number, because the mean of its divisors is an integer number (6204006004032).

Almost surely, 2^{34122033022143} is an apocalyptic number.

34122033022143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34122033022143 is a deficient number, since it is larger than the sum of its proper divisors (15510015010113).

34122033022143 is a wasteful number, since it uses less digits than its factorization.

34122033022143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034001000685.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 3412203 and 3022143, that added together give a palindrome (6434346).

The spelling of 34122033022143 in words is "thirty-four trillion, one hundred twenty-two billion, thirty-three million, twenty-two thousand, one hundred forty-three".