Search a number
-
+
12222124324130 = 2571921143552451
BaseRepresentation
bin1011000111011010111101…
…1000001111010100100010
31121021102102212011220102002
42301312233120033110202
53100221402311333010
641554433313124002
72401006430426150
oct261665730172442
947242385156362
1012222124324130
1139924126071a6
121454890859602
136a870653cbc6
143037a81643d0
15162dd38801a5
hexb1daf60f522

12222124324130 has 64 divisors (see below), whose sum is σ = 26591385093120. Its totient is φ = 3951078264000.

The previous prime is 12222124324117. The next prime is 12222124324177. The reversal of 12222124324130 is 3142342122221.

It is a junction number, because it is equal to n+sod(n) for n = 12222124324093 and 12222124324102.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21495596 + ... + 22056855.

It is an arithmetic number, because the mean of its divisors is an integer number (415490392080).

Almost surely, 212222124324130 is an apocalyptic number.

12222124324130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12222124324130 is an abundant number, since it is smaller than the sum of its proper divisors (14369260768990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12222124324130 is a wasteful number, since it uses less digits than its factorization.

12222124324130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43552695.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 12222124324130 its reverse (3142342122221), we get a palindrome (15364466446351).

The spelling of 12222124324130 in words is "twelve trillion, two hundred twenty-two billion, one hundred twenty-four million, three hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 211 266 422 665 1055 1330 1477 2110 2954 4009 7385 8018 14770 20045 28063 40090 56126 140315 280630 43552451 87104902 217762255 304867157 435524510 609734314 827496569 1524335785 1654993138 3048671570 4137482845 5792475983 8274965690 9189567161 11584951966 18379134322 28962379915 45947835805 57924759830 64326970127 91895671610 128653940254 174601776059 321634850635 349203552118 643269701270 873008880295 1222212432413 1746017760590 2444424864826 6111062162065 12222124324130