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12212231001012 = 22327298623193793
BaseRepresentation
bin1011000110110110000110…
…1100001101001110110100
31121020110220101011000110100
42301231201230031032310
53100041122114013022
641550115500554100
72400206316525420
oct261554154151664
947213811130410
1012212231001012
1139891a60340a9
12145298b552930
136a77ba993363
1430310a24db80
15162a050451ac
hexb1b61b0d3b4

12212231001012 has 144 divisors (see below), whose sum is σ = 36500743319040. Its totient is φ = 3368483241984.

The previous prime is 12212231001011. The next prime is 12212231001037. The reversal of 12212231001012 is 21010013221221.

12212231001012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212231001011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62919988 + ... + 63113780.

It is an arithmetic number, because the mean of its divisors is an integer number (253477384160).

Almost surely, 212212231001012 is an apocalyptic number.

12212231001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212231001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18250371659520).

12212231001012 is an abundant number, since it is smaller than the sum of its proper divisors (24288512318028).

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

12212231001012 is a wasteful number, since it uses less digits than its factorization.

12212231001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202462 (or 202457 counting only the distinct ones).

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

Adding to 12212231001012 its reverse (21010013221221), we get a palindrome (33222244222233).

The spelling of 12212231001012 in words is "twelve trillion, two hundred twelve billion, two hundred thirty-one million, one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 8623 17246 25869 34492 51738 60361 77607 103476 120722 155214 181083 193793 241444 250067 310428 362166 387586 500134 543249 581379 724332 750201 775172 1000268 1086498 1162758 1356551 1500402 1744137 1750469 2172996 2250603 2325516 2713102 3000804 3488274 3500938 4069653 4501206 5251407 5426204 5619997 6976548 7001876 8139306 9002412 10502814 11239994 12208959 15754221 16278612 16859991 21005628 22479988 24417918 31508442 33719982 39339979 48835836 50579973 63016884 67439964 78679958 101159946 118019937 157359916 202319892 236039874 354059811 472079748 708119622 1416239244 1671077039 3342154078 5013231117 6684308156 10026462234 11697539273 15039693351 20052924468 23395078546 30079386702 35092617819 46790157092 48461234131 60158773404 70185235638 96922468262 105277853457 140370471276 145383702393 193844936524 210555706914 290767404786 339228638917 421111413828 436151107179 581534809572 678457277834 872302214358 1017685916751 1356914555668 1744604428716 2035371833502 3053057750253 4070743667004 6106115500506 12212231001012