34120414211237 has 2 divisors, whose sum is σ = 34120414211238. Its totient is φ = 34120414211236.

The previous prime is 34120414211231. The next prime is 34120414211269. The reversal of 34120414211237 is 73211241402143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30055295317441 + 4065118893796 = 5482271^2 + 2016214^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34120414211237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34120414211197 and 34120414211206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34120414211231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17060207105618 + 17060207105619.

It is an arithmetic number, because the mean of its divisors is an integer number (17060207105619).

Almost surely, 2^{34120414211237} is an apocalyptic number.

It is an amenable number.

34120414211237 is a deficient number, since it is larger than the sum of its proper divisors (1).

34120414211237 is an equidigital number, since it uses as much as digits as its factorization.

34120414211237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 34120414211237 in words is "thirty-four trillion, one hundred twenty billion, four hundred fourteen million, two hundred eleven thousand, two hundred thirty-seven".