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12122806327 = 439120122993
BaseRepresentation
bin10110100101001001…
…10101100000110111
31011021212012100221221
423102210311200313
5144311414300302
65322533451211
7606262103452
oct132244654067
934255170857
1012122806327
11516100a905
122423aa0b07
1311b2731ba8
14830068499
154ae42c937
hex2d2935837

12122806327 has 8 divisors (see below), whose sum is σ = 12161066720. Its totient is φ = 12084595200.

The previous prime is 12122806313. The next prime is 12122806331. The reversal of 12122806327 is 72360822121.

It is a happy number.

12122806327 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12122806327 - 211 = 12122804279 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122806292 and 12122806301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122806387) 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, 515743 + ... + 538735.

It is an arithmetic number, because the mean of its divisors is an integer number (1520133340).

Almost surely, 212122806327 is an apocalyptic number.

12122806327 is a deficient number, since it is larger than the sum of its proper divisors (38260393).

12122806327 is a wasteful number, since it uses less digits than its factorization.

12122806327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24633.

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 12122806327 in words is "twelve billion, one hundred twenty-two million, eight hundred six thousand, three hundred twenty-seven".

Divisors: 1 439 1201 22993 527239 10093927 27614593 12122806327