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12212013222 = 23319101191617
BaseRepresentation
bin10110101111110010…
…01000100010100110
31011112002001112211000
423113321020202212
5200002233410342
65335441454130
7611424254043
oct132771104246
934462045730
1012212013222
1151a73aa312
122449941346
1311c8066b36
1483bc4a1ca
154b719e44c
hex2d7e488a6

12212013222 has 128 divisors (see below), whose sum is σ = 29046988800. Its totient is φ = 3792096000.

The previous prime is 12212013211. The next prime is 12212013227. The reversal of 12212013222 is 22231021221.

12212013222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×122120132223 (a number of 31 digits) contains 333 as substring.

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 = 12212013195 and 12212013204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212013227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19792258 + ... + 19792874.

It is an arithmetic number, because the mean of its divisors is an integer number (226929600).

Almost surely, 212212013222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212013222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14523494400).

12212013222 is an abundant number, since it is smaller than the sum of its proper divisors (16834975578).

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

12212013222 is a wasteful number, since it uses less digits than its factorization.

12212013222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12212013222 its reverse (22231021221), we get a palindrome (34443034443).

The spelling of 12212013222 in words is "twelve billion, two hundred twelve million, thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 101 114 171 191 202 303 342 382 513 573 606 617 909 1026 1146 1234 1719 1818 1851 1919 2727 3438 3629 3702 3838 5157 5454 5553 5757 7258 10314 10887 11106 11514 11723 16659 17271 19291 21774 23446 32661 33318 34542 35169 38582 51813 57873 62317 65322 70338 97983 103626 105507 115746 117847 124634 173619 186951 195966 211014 235694 316521 347238 353541 366529 373902 520857 560853 633042 707082 733058 1041714 1060623 1099587 1121706 1184023 1682559 2121246 2199174 2239093 2368046 3181869 3298761 3365118 3552069 4478186 6363738 6597522 6717279 7104138 9896283 10656207 11902547 13434558 19792566 20151837 21312414 23805094 31968621 35707641 40303674 60455511 63937242 71415282 107122923 120911022 214245846 226148393 321368769 452296786 642737538 678445179 1356890358 2035335537 4070671074 6106006611 12212013222