34212100121249 has 2 divisors, whose sum is σ = 34212100121250. Its totient is φ = 34212100121248.

The previous prime is 34212100121239. The next prime is 34212100121317. The reversal of 34212100121249 is 94212100121243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27967438980625 + 6244661140624 = 5288425^2 + 2498932^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34212100121249 is a prime.

It is not a weakly prime, because it can be changed into another prime (34212100121209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17106050060624 + 17106050060625.

It is an arithmetic number, because the mean of its divisors is an integer number (17106050060625).

Almost surely, 2^{34212100121249} is an apocalyptic number.

It is an amenable number.

34212100121249 is a deficient number, since it is larger than the sum of its proper divisors (1).

34212100121249 is an equidigital number, since it uses as much as digits as its factorization.

34212100121249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 34212100121249 in words is "thirty-four trillion, two hundred twelve billion, one hundred million, one hundred twenty-one thousand, two hundred forty-nine".