34014223243121 has 12 divisors (see below), whose sum is σ = 37416272348532. Its totient is φ = 30898253100000.

The previous prime is 34014223243081. The next prime is 34014223243151. The reversal of 34014223243121 is 12134232241043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4524707562496 + 29489515680625 = 2127136^2 + 5430425^2 .

It is a de Polignac number, because none of the positive numbers 2^k-34014223243121 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34014223243151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107878430 + ... + 108193271.

It is an arithmetic number, because the mean of its divisors is an integer number (3118022695711).

Almost surely, 2^{34014223243121} is an apocalyptic number.

It is an amenable number.

34014223243121 is a deficient number, since it is larger than the sum of its proper divisors (3402049105411).

34014223243121 is a wasteful number, since it uses less digits than its factorization.

34014223243121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216073024 (or 216073013 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 34014223243121 its reverse (12134232241043), we get a palindrome (46148455484164).

The spelling of 34014223243121 in words is "thirty-four trillion, fourteen billion, two hundred twenty-three million, two hundred forty-three thousand, one hundred twenty-one".