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12022211211100 = 225226328310691511
BaseRepresentation
bin1010111011110010001110…
…1000001110111101011100
31120120022102120101112102121
42232330203220032331130
53033432442032223400
641322532205232324
72350401413131006
oct256744350167534
946508376345377
1012022211211100
1139156558a0512
121421b9a2626a4
136928c7222a4c
142d7c4181d376
1515cad2d7021a
hexaef23a0ef5c

12022211211100 has 144 divisors (see below), whose sum is σ = 26321920289280. Its totient is φ = 4766049964800.

The previous prime is 12022211211079. The next prime is 12022211211137. The reversal of 12022211211100 is 111211222021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7956459345 + ... + 7956460855.

It is an arithmetic number, because the mean of its divisors is an integer number (182791113120).

Almost surely, 212022211211100 is an apocalyptic number.

12022211211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022211211100 is an abundant number, since it is smaller than the sum of its proper divisors (14299709078180).

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

12022211211100 is a wasteful number, since it uses less digits than its factorization.

12022211211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12022211211100 its reverse (111211222021), we get a palindrome (12133422433121).

The spelling of 12022211211100 in words is "twelve trillion, twenty-two billion, two hundred eleven million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 263 283 526 566 1052 1069 1132 1315 1415 1511 2138 2630 2830 3022 4276 5260 5345 5660 6044 6575 7075 7555 10690 13150 14150 15110 21380 26300 26725 28300 30220 37775 53450 74429 75550 106900 148858 151100 281147 297716 302527 372145 397393 427613 562294 605054 744290 794786 855226 1124588 1210108 1405735 1488580 1512635 1589572 1615259 1710452 1860725 1986965 2138065 2811470 3025270 3230518 3721450 3973930 4276130 5622940 6050540 6461036 7028675 7442900 7563175 7947860 8076295 8552260 9934825 10690325 14057350 15126350 16152590 19869650 21380650 28114700 30252700 32305180 39739300 40381475 42761300 79564601 80762950 112462219 159129202 161525900 224924438 318258404 397823005 424813117 449848876 457118297 562311095 795646010 849626234 914236594 1124622190 1591292020 1699252468 1828473188 1989115025 2124065585 2249244380 2285591485 2811555475 3978230050 4248131170 4571182970 5623110950 7956460100 8496262340 9142365940 10620327925 11246221900 11427957425 21240655850 22855914850 42481311700 45711829700 120222112111 240444224222 480888448444 601110560555 1202221121110 2404442242220 3005552802775 6011105605550 12022211211100