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12211220221212 = 22317473174017647
BaseRepresentation
bin1011000110110010010101…
…1100011000110100011100
31121020101021221012002020110
42301230211130120310130
53100032034334034322
641545431312250020
72400142264166505
oct261544534306434
947211257162213
1012211220221212
1139888275182a1
121452748b40910
136a76894506bc
14303051cd7bac
15162996434c0c
hexb1b25718d1c

12211220221212 has 96 divisors (see below), whose sum is σ = 30907991052288. Its totient is φ = 3737632144384.

The previous prime is 12211220221201. The next prime is 12211220221217. The reversal of 12211220221212 is 21212202211221.

It is a super-2 number, since 2×122112202212122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211220221217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030573 + ... + 5048219.

It is an arithmetic number, because the mean of its divisors is an integer number (321958240128).

Almost surely, 212211220221212 is an apocalyptic number.

12211220221212 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 12211220221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15453995526144).

12211220221212 is an abundant number, since it is smaller than the sum of its proper divisors (18696770831076).

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

12211220221212 is a wasteful number, since it uses less digits than its factorization.

12211220221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018035 (or 4018033 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12211220221212 its reverse (21212202211221), we get a palindrome (33423422432433).

The spelling of 12211220221212 in words is "twelve trillion, two hundred eleven billion, two hundred twenty million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 317 564 634 799 951 1268 1598 1902 2397 3196 3804 4794 5389 9588 10778 14899 16167 21556 29798 32334 44697 59596 64668 89394 178788 253283 506566 759849 1013132 1519698 3039396 4017647 8035294 12052941 16070588 24105882 48211764 68299999 136599998 188829409 204899997 273199996 377658818 409799994 566488227 755317636 819599988 1132976454 1273594099 2265952908 2547188198 3210099953 3820782297 5094376396 6420199906 7641564594 9630299859 12840399812 15283129188 19260599718 21651099683 38521199436 43302199366 59858922653 64953299049 86604398732 119717845306 129906598098 179576767959 239435690612 259813196196 359153535918 718307071836 1017601685101 2035203370202 3052805055303 4070406740404 6105610110606 12211220221212