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12201102301122 = 2327217813732313
BaseRepresentation
bin1011000110001100101001…
…0111100101011111000010
31121012102011210112111011100
42301203022113211133002
53044400324142113442
641541035314155230
72366333455245300
oct261431227453702
947172153474140
1012201102301122
113984505192169
1214507a4582b16
136a67361b6c37
1430277223b270
151625a303284c
hexb18ca5e57c2

12201102301122 has 72 divisors (see below), whose sum is σ = 32560684812396. Its totient is φ = 3280968681984.

The previous prime is 12201102301121. The next prime is 12201102301159. The reversal of 12201102301122 is 22110320110221.

12201102301122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10640324326401 + 1560777974721 = 3261951^2 + 1249311^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12201102301095 and 12201102301104.

It is not an unprimeable number, because it can be changed into a prime (12201102301121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 406851163 + ... + 406881150.

Almost surely, 212201102301122 is an apocalyptic number.

12201102301122 is an abundant number, since it is smaller than the sum of its proper divisors (20359582511274).

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

12201102301122 is a wasteful number, since it uses less digits than its factorization.

12201102301122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813732352 (or 813732342 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12201102301122 its reverse (22110320110221), we get a palindrome (34311422411343).

The spelling of 12201102301122 in words is "twelve trillion, two hundred one billion, one hundred two million, three hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 4998 7497 14994 813732313 1627464626 2441196939 4882393878 5696126191 7323590817 11392252382 13833449321 14647181634 17088378573 27666898642 34176757146 39872883337 41500347963 51265135719 79745766674 83000695926 96834145247 102530271438 119618650011 124501043889 193668290494 239237300022 249002087778 290502435741 358855950033 581004871482 677839016729 717711900066 871507307223 1355678033458 1743014614446 2033517050187 4067034100374 6100551150561 12201102301122