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12122101001022 = 231731223145911783
BaseRepresentation
bin1011000001100110010110…
…0001100010101100111110
31120220212021001122121212120
42300121211201202230332
53042102030324013042
641440452154143410
72360535651261225
oct260314541425476
946825231577776
1012122101001022
113953a54aa1101
121439417121b66
1369c155c5560c
142dc9d9d91cbc
151604cc589dec
hexb0665862b3e

12122101001022 has 128 divisors (see below), whose sum is σ = 26637737656320. Its totient is φ = 3661008606720.

The previous prime is 12122101000909. The next prime is 12122101001041. The reversal of 12122101001022 is 22010010122121.

It is a junction number, because it is equal to n+sod(n) for n = 12122101000992 and 12122101001010.

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, 1028772943 + ... + 1028784725.

It is an arithmetic number, because the mean of its divisors is an integer number (208107325440).

Almost surely, 212122101001022 is an apocalyptic number.

12122101001022 is an abundant number, since it is smaller than the sum of its proper divisors (14515636655298).

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

12122101001022 is a wasteful number, since it uses less digits than its factorization.

12122101001022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13518.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122101001022 its reverse (22010010122121), we get a palindrome (34132111123143).

The spelling of 12122101001022 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, one thousand, twenty-two".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 223 446 527 669 1054 1338 1459 1581 2918 3162 3791 4377 6913 7582 8754 11373 11783 13826 20739 22746 23566 24803 35349 41478 45229 49606 70698 74409 90458 117521 135687 148818 200311 235042 271374 325357 352563 365273 400622 600933 650714 705126 730546 768893 976071 1095819 1201866 1537786 1952142 2191638 2306679 2627609 4613358 5255218 5531069 6209641 7882827 10086067 11062138 12419282 15765654 16593207 17191397 18628923 20172134 30258201 33186414 34382794 37257846 44669353 51574191 60516402 81455879 89338706 103148382 134008059 162911758 171463139 244367637 268016118 292253749 342926278 488735274 514389417 532933307 584507498 876761247 1028778834 1065866614 1384749943 1598799921 1753522494 2769499886 3197599842 3833681531 4154249829 7667363062 8308499658 9059866219 11501044593 18119732438 23002089186 27179598657 54359197314 65172586027 118844127461 130345172054 195517758081 237688254922 356532382383 391035516162 713064764766 2020350166837 4040700333674 6061050500511 12122101001022