Search a number
-
+
122221011101112 = 23337117348545641
BaseRepresentation
bin11011110010100011001011…
…111100110110010110111000
3121000202012210102000002122000
4123302203023330312112320
5112004432112320213422
61111535320220501000
734513114410100620
oct3362431374662670
9530665712002560
10122221011101112
1135a41704520470
121185b3013aa760
135327512cb0b01
1422277582c3880
15e1e3b0498cac
hex6f28cbf365b8

122221011101112 has 128 divisors (see below), whose sum is σ = 423276228979200. Its totient is φ = 31745717164800.

The previous prime is 122221011101107. The next prime is 122221011101171. The reversal of 122221011101112 is 211101110122221.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 3674256189 + ... + 3674289452.

It is an arithmetic number, because the mean of its divisors is an integer number (3306845538900).

Almost surely, 2122221011101112 is an apocalyptic number.

122221011101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122221011101112 is an abundant number, since it is smaller than the sum of its proper divisors (301055217878088).

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

122221011101112 is a wasteful number, since it uses less digits than its factorization.

122221011101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7348545674 (or 7348545664 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122221011101112 its reverse (211101110122221), we get a palindrome (333322121223333).

The spelling of 122221011101112 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, eleven million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 8316 16632 7348545641 14697091282 22045636923 29394182564 44091273846 51439819487 58788365128 66136910769 80834002051 88182547692 102879638974 132273821538 154319458461 161668004102 176365095384 198410732307 205759277948 242502006153 264547643076 308638916922 323336008204 396821464614 411518555896 462958375383 485004012306 529095286152 565838014357 617277833844 646672016408 727506018459 793642929228 925916750766 970008024612 1131676028714 1234555667688 1388875126149 1455012036918 1587285858456 1697514043071 1851833501532 1940016049224 2182518055377 2263352057428 2777750252298 2910024073836 3395028086142 3703667003064 4365036110754 4526704114856 5092542129213 5555500504596 5820048147672 6790056172284 8730072221508 10185084258426 11111001009192 13580112344568 15277626387639 17460144443016 20370168516852 30555252775278 40740337033704 61110505550556 122221011101112