34122030024401 has 32 divisors (see below), whose sum is σ = 37896543014400. Its totient is φ = 30460774135680.

The previous prime is 34122030024373. The next prime is 34122030024403. The reversal of 34122030024401 is 10442003022143.

It is a cyclic number.

It is not a de Polignac number, because 34122030024401 - 2³⁰ = 34120956282577 is a prime.

It is a super-2 number, since 2×34122030024401² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34122030024403) 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, 4337358470 + ... + 4337366336.

It is an arithmetic number, because the mean of its divisors is an integer number (1184266969200).

Almost surely, 2^{34122030024401} is an apocalyptic number.

It is an amenable number.

34122030024401 is a deficient number, since it is larger than the sum of its proper divisors (3774512989999).

34122030024401 is a wasteful number, since it uses less digits than its factorization.

34122030024401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14429.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34122030024401 its reverse (10442003022143), we get a palindrome (44564033046544).

The spelling of 34122030024401 in words is "thirty-four trillion, one hundred twenty-two billion, thirty million, twenty-four thousand, four hundred one".