34012123221007 has 2 divisors, whose sum is σ = 34012123221008. Its totient is φ = 34012123221006.

The previous prime is 34012123220981. The next prime is 34012123221029. The reversal of 34012123221007 is 70012232121043.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34012123221007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34012123221047) 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 as a sum of consecutive naturals, namely, 17006061610503 + 17006061610504.

It is an arithmetic number, because the mean of its divisors is an integer number (17006061610504).

Almost surely, 2^{34012123221007} is an apocalyptic number.

34012123221007 is a deficient number, since it is larger than the sum of its proper divisors (1).

34012123221007 is an equidigital number, since it uses as much as digits as its factorization.

34012123221007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 34012123221007 in words is "thirty-four trillion, twelve billion, one hundred twenty-three million, two hundred twenty-one thousand, seven".