34052120121361 has 8 divisors (see below), whose sum is σ = 34188174989280. Its totient is φ = 33916092822528.

The previous prime is 34052120121323. The next prime is 34052120121389. The reversal of 34052120121361 is 16312102125043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34052120121361 - 2⁹ = 34052120120849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34052120121301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4415251 + ... + 9359416.

It is an arithmetic number, because the mean of its divisors is an integer number (4273521873660).

Almost surely, 2^{34052120121361} is an apocalyptic number.

It is an amenable number.

34052120121361 is a deficient number, since it is larger than the sum of its proper divisors (136054867919).

34052120121361 is a wasteful number, since it uses less digits than its factorization.

34052120121361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13784543.

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 34052120121361 in words is "thirty-four trillion, fifty-two billion, one hundred twenty million, one hundred twenty-one thousand, three hundred sixty-one".