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12122203312230 = 23511523571123007
BaseRepresentation
bin1011000001100110101110…
…0111110101000001100110
31120220212112012011120110120
42300121223213311001212
53042102233021442410
641440510251102410
72360541333020514
oct260315347650146
946825465146416
1012122203312230
113953aa7821020
121439445441a06
1369c1711c80ab
142dca097c54b4
151604d6549570
hexb066b9f5066

12122203312230 has 128 divisors (see below), whose sum is σ = 31854765735936. Its totient is φ = 2927936419200.

The previous prime is 12122203312201. The next prime is 12122203312231. The reversal of 12122203312230 is 3221330222121.

12122203312230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12122203312230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122203312231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98487387 + ... + 98610393.

It is an arithmetic number, because the mean of its divisors is an integer number (248865357312).

Almost surely, 212122203312230 is an apocalyptic number.

12122203312230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122203312230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15927382867968).

12122203312230 is an abundant number, since it is smaller than the sum of its proper divisors (19732562423706).

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

12122203312230 is a wasteful number, since it uses less digits than its factorization.

12122203312230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124122.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12122203312230 its reverse (3221330222121), we get a palindrome (15343533534351).

The spelling of 12122203312230 in words is "twelve trillion, one hundred twenty-two billion, two hundred three million, three hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 523 571 1046 1142 1569 1713 2615 2855 3138 3426 5230 5710 5753 6281 7845 8565 11506 12562 15690 17130 17259 18843 28765 31405 34518 37686 57530 62810 86295 94215 123007 172590 188430 246014 298633 369021 597266 615035 738042 895899 1230070 1353077 1493165 1791798 1845105 2706154 2986330 3284963 3690210 4059231 4479495 6569926 6765385 8118462 8958990 9854889 13530770 16424815 19709778 20296155 32849630 40592310 49274445 64332661 70236997 98548890 128665322 140473994 192997983 210710991 321663305 351184985 385995966 421421982 643326610 702369970 707659271 772606967 964989915 1053554955 1415318542 1545213934 1929979830 2107109910 2122977813 2317820901 3538296355 3863034835 4245955626 4635641802 7076592710 7726069670 10614889065 11589104505 21229778130 23178209010 36733949431 73467898862 110201848293 183669747155 220403696586 367339494310 404073443741 551009241465 808146887482 1102018482930 1212220331223 2020367218705 2424440662446 4040734437410 6061101656115 12122203312230