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12212011122102 = 2331156937339679
BaseRepresentation
bin1011000110110101010010…
…0101011011110110110110
31121020110100001102000022000
42301231110211123312312
53100040144321401402
641550042004120130
72400201006555141
oct261552445336666
947213301360260
1012212011122102
1139890a2a038a0
121452929996046
136a7784268aac
143030c8d75058
151629e0ab0c1c
hexb1b5495bdb6

12212011122102 has 128 divisors (see below), whose sum is σ = 29667914496000. Its totient is φ = 3692734583040.

The previous prime is 12212011122083. The next prime is 12212011122131. The reversal of 12212011122102 is 20122111021221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1261696899 + ... + 1261706577.

It is an arithmetic number, because the mean of its divisors is an integer number (231780582000).

Almost surely, 212212011122102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212011122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14833957248000).

12212011122102 is an abundant number, since it is smaller than the sum of its proper divisors (17455903373898).

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

12212011122102 is a wasteful number, since it uses less digits than its factorization.

12212011122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14003 (or 13997 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12212011122102 its reverse (20122111021221), we get a palindrome (32334122143323).

The spelling of 12212011122102 in words is "twelve trillion, two hundred twelve billion, eleven million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 569 594 1138 1707 3414 3733 5121 6259 7466 9679 10242 11199 12518 15363 18777 19358 22398 29037 30726 33597 37554 41063 56331 58074 67194 82126 87111 100791 106469 112662 123189 168993 174222 201582 212938 246378 261333 319407 337986 369567 522666 638814 739134 958221 1108701 1916442 2124077 2217402 2874663 4248154 5507351 5749326 6372231 11014702 12744462 16522053 19116693 23364847 33044106 36131707 38233386 46729694 49566159 57350079 60580861 70094541 72263414 99132318 108395121 114700158 121161722 140189082 148698477 181742583 210283623 216790242 297396954 325185363 363485166 397448777 420567246 545227749 630850869 650370726 794897554 975556089 1090455498 1192346331 1261701738 1635683247 1951112178 2384692662 3271366494 3577038993 7154077986 10731116979 20558941283 21462233958 41117882566 61676823849 123353647698 185030471547 226148354113 370060943094 452296708226 555091414641 678445062339 1110182829282 1356890124678 2035335187017 4070670374034 6106005561051 12212011122102