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12222124324129 = 2931710853122501
BaseRepresentation
bin1011000111011010111101…
…1000001111010100100001
31121021102102212011220102001
42301312233120033110201
53100221402311333004
641554433313124001
72401006430426146
oct261665730172441
947242385156361
1012222124324129
1139924126071a5
121454890859601
136a870653cbc5
143037a81643cd
15162dd38801a4
hexb1daf60f521

12222124324129 has 16 divisors (see below), whose sum is σ = 12684734194320. Its totient is φ = 11762265760000.

The previous prime is 12222124324117. The next prime is 12222124324177. The reversal of 12222124324129 is 92142342122221.

It can be written as a sum of positive squares in 8 ways, for example, as 266075430625 + 11956048893504 = 515825^2 + 3457752^2 .

It is a cyclic number.

It is not a de Polignac number, because 12222124324129 - 223 = 12222115935521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12222124324229) 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 in 15 ways as a sum of consecutive naturals, for example, 99710379 + ... + 99832879.

It is an arithmetic number, because the mean of its divisors is an integer number (792795887145).

Almost surely, 212222124324129 is an apocalyptic number.

It is an amenable number.

12222124324129 is a deficient number, since it is larger than the sum of its proper divisors (462609870191).

12222124324129 is a wasteful number, since it uses less digits than its factorization.

12222124324129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133700.

The product of its digits is 55296, while the sum is 37.

The spelling of 12222124324129 in words is "twelve trillion, two hundred twenty-two billion, one hundred twenty-four million, three hundred twenty-four thousand, one hundred twenty-nine".

Divisors: 1 29 317 9193 10853 122501 314737 3440401 3552529 38832817 99771629 1126151693 1329503353 38555597237 421452562901 12222124324129