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12022212022110 = 2335671051632329
BaseRepresentation
bin1010111011110010001110…
…1011010100111101011110
31120120022102121220201221000
42232330203223110331132
53033432442234201420
641322532234451130
72350401423046323
oct256744353247536
946508377821830
1012022212022110
1139156562a4874
121421b9a593aa6
136928c7447c34
142d7c41990b4a
1515cad2e80690
hexaef23ad4f5e

12022212022110 has 128 divisors (see below), whose sum is σ = 32568738393600. Its totient is φ = 3155063788800.

The previous prime is 12022212022069. The next prime is 12022212022123. The reversal of 12022212022110 is 1122021222021.

It is a happy number.

12022212022110 is a `hidden beast` number, since 1 + 202 + 221 + 20 + 221 + 1 + 0 = 666.

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, 18696426 + ... + 19328754.

It is an arithmetic number, because the mean of its divisors is an integer number (254443268700).

Almost surely, 212022212022110 is an apocalyptic number.

12022212022110 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 12022212022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284369196800).

12022212022110 is an abundant number, since it is smaller than the sum of its proper divisors (20546526371490).

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

12022212022110 is a wasteful number, since it uses less digits than its factorization.

12022212022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633463 (or 633457 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12022212022110 its reverse (1122021222021), we get a palindrome (13144233244131).

The spelling of 12022212022110 in words is "twelve trillion, twenty-two billion, two hundred twelve million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 270 335 402 603 670 1005 1051 1206 1809 2010 2102 3015 3153 3618 5255 6030 6306 9045 9459 10510 15765 18090 18918 28377 31530 47295 56754 70417 94590 140834 141885 211251 283770 352085 422502 632329 633753 704170 1056255 1264658 1267506 1896987 1901259 2112510 3161645 3168765 3793974 3802518 5690961 6323290 6337530 9484935 9506295 11381922 17072883 18969870 19012590 28454805 34145766 42366043 56909610 84732086 85364415 127098129 170728830 211830215 254196258 381294387 423660430 635490645 664577779 762588774 1143883161 1270981290 1329155558 1906471935 1993733337 2287766322 3322888895 3812943870 3987466674 5719415805 5981200011 6645777790 9968666685 11438831610 11962400022 17943600033 19937333370 29906000055 35887200066 44526711193 59812000110 89053422386 89718000165 133580133579 179436000330 222633555965 267160267158 400740400737 445267111930 667900667895 801480801474 1202221202211 1335801335790 2003702003685 2404442404422 4007404007370 6011106011055 12022212022110