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112122011221000 = 23531129351479659
BaseRepresentation
bin11001011111100101110000…
…101001100111110000001000
3112200222202111202000212010021
4121133211300221213300020
5104144001334333033000
61034244050232430224
732421355650345244
oct3137456051476010
9480882452025107
10112122011221000
11327a8750357210
12106a9bb6848374
134a740a25c5791
141d98a3ccb3424
15ce683e02311a
hex65f970a67c08

112122011221000 has 128 divisors (see below), whose sum is σ = 296086465584000. Its totient is φ = 39365721696000.

The previous prime is 112122011220917. The next prime is 112122011221013. The reversal of 112122011221000 is 122110221211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175420830 + ... + 176058829.

It is an arithmetic number, because the mean of its divisors is an integer number (2313175512375).

Almost surely, 2112122011221000 is an apocalyptic number.

112122011221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122011221000 is an abundant number, since it is smaller than the sum of its proper divisors (183964454363000).

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

112122011221000 is a wasteful number, since it uses less digits than its factorization.

112122011221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351479720 (or 351479706 counting only the distinct ones).

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

Adding to 112122011221000 its reverse (122110221211), we get a palindrome (112244121442211).

The spelling of 112122011221000 in words is "one hundred twelve trillion, one hundred twenty-two billion, eleven million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 11000 12760 14500 15950 29000 31900 39875 63800 79750 159500 319000 351479659 702959318 1405918636 1757398295 2811837272 3514796590 3866276249 7029593180 7732552498 8786991475 10192910111 14059186360 15465104996 17573982950 19331381245 20385820222 30930209992 35147965900 38662762490 40771640444 43934957375 50964550555 70295931800 77325524980 81543280888 87869914750 96656906225 101929101110 112122011221 154651049960 175739829500 193313812450 203858202220 224244022442 254822752775 351479659000 386627624900 407716404440 448488044884 483284531125 509645505550 560610056105 773255249800 896976089768 966569062250 1019291011100 1121220112210 1274113763875 1933138124500 2038582022200 2242440224420 2548227527750 2803050280525 3866276249000 4484880448840 5096455055500 5606100561050 10192910111000 11212201122100 14015251402625 22424402244200 28030502805250 56061005610500 112122011221000