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12119938398855 = 3357191324732711
BaseRepresentation
bin1011000001011110010010…
…0111110111101010000111
31120220122200100100001102000
42300113210213313222013
53042033113212230410
641435453422120343
72360431241411520
oct260274447675207
946818610301360
1012119938398855
113953045295091
121438b12a200b3
1369bb9cbb9271
142dc872a8b847
151604027a8dc0
hexb05e49f7a87

12119938398855 has 128 divisors (see below), whose sum is σ = 24656563261440. Its totient is φ = 5533365934080.

The previous prime is 12119938398851. The next prime is 12119938398859. The reversal of 12119938398855 is 55889383991121.

12119938398855 is a `hidden beast` number, since 1 + 2 + 1 + 199 + 383 + 9 + 8 + 8 + 55 = 666.

It is an interprime number because it is at equal distance from previous prime (12119938398851) and next prime (12119938398859).

It is not a de Polignac number, because 12119938398855 - 22 = 12119938398851 is a prime.

It is a super-2 number, since 2×121199383988552 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12119938398851) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4470650950 + ... + 4470653660.

It is an arithmetic number, because the mean of its divisors is an integer number (192629400480).

Almost surely, 212119938398855 is an apocalyptic number.

12119938398855 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12119938398855 is an abundant number, since it is smaller than the sum of its proper divisors (12536624862585).

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

12119938398855 is a wasteful number, since it uses less digits than its factorization.

12119938398855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118 (or 7112 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 72.

The spelling of 12119938398855 in words is "twelve trillion, one hundred nineteen billion, nine hundred thirty-eight million, three hundred ninety-eight thousand, eight hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1913 2473 2711 5739 7419 8133 9565 12365 13391 13555 17217 17311 18977 22257 24399 28695 37095 40173 40665 51651 51933 56931 66771 66955 73197 86085 86555 94885 111285 120519 121995 155799 170793 200865 258255 259665 284655 333855 361557 365985 467397 512379 602595 778995 853965 1807785 2336985 2561895 4730849 5186143 6704303 14192547 15558429 20112909 23654245 25930715 33115943 33521515 36303001 42577641 46675287 46930121 60338727 70962735 77792145 99347829 100564545 108909003 127732923 140025861 140790363 165579715 181016181 181515005 212888205 233376435 234650605 298043487 301693635 326727009 422371089 496739145 544545015 638664615 700129305 703951815 894130461 905080905 980181027 1267113267 1490217435 1633635045 2111855445 4470652305 4900905135 6335566335 12825331639 38475994917 64126658195 89777321473 115427984751 192379974585 269331964419 346283954253 448886607365 577139923755 807995893257 1346659822095 1731419771265 2423987679771 4039979466285 12119938398855