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12122014123230 = 23511191467411823
BaseRepresentation
bin1011000001100110000001…
…0110001000010011011110
31120220212001000011202221120
42300121200112020103132
53042101341103420410
641440435412111410
72360533544651214
oct260314026102336
946825030152846
1012122014123230
113953a0aa52580
1214393b2005566
1369c140c5783b
142dc9cc618cb4
151604c4b28570
hexb06605884de

12122014123230 has 128 divisors (see below), whose sum is σ = 31972196745216. Its totient is φ = 2917017590400.

The previous prime is 12122014123229. The next prime is 12122014123259. The reversal of 12122014123230 is 3232141022121.

It is a self number, because there is not a number n which added to its sum of digits gives 12122014123230.

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, 29229099 + ... + 29640921.

It is an arithmetic number, because the mean of its divisors is an integer number (249782787072).

Almost surely, 212122014123230 is an apocalyptic number.

12122014123230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122014123230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986098372608).

12122014123230 is an abundant number, since it is smaller than the sum of its proper divisors (19850182621986).

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

12122014123230 is a wasteful number, since it uses less digits than its factorization.

12122014123230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412502.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12122014123230 its reverse (3232141022121), we get a palindrome (15354155145351).

The spelling of 12122014123230 in words is "twelve trillion, one hundred twenty-two billion, fourteen million, one hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 191 330 382 467 573 934 955 1146 1401 1910 2101 2335 2802 2865 4202 4670 5137 5730 6303 7005 10274 10505 12606 14010 15411 21010 25685 30822 31515 51370 63030 77055 89197 154110 178394 267591 411823 445985 535182 823646 891970 981167 1235469 1337955 1962334 2059115 2470938 2675910 2943501 4118230 4530053 4905835 5887002 6177345 9060106 9811670 12354690 13590159 14717505 22650265 27180318 29435010 45300530 67950795 78658193 135901590 157316386 192321341 235974579 384642682 393290965 471949158 576964023 786581930 865240123 961606705 1153928046 1179872895 1730480246 1923213410 2115534751 2359745790 2595720369 2884820115 4231069502 4326200615 5191440738 5769640230 6346604253 8652401230 10577673755 12693208506 12978601845 21155347510 25957203690 31733021265 36733376131 63466042530 73466752262 110200128393 183666880655 220400256786 367333761310 404067137441 551000641965 808134274882 1102001283930 1212201412323 2020335687205 2424402824646 4040671374410 6061007061615 12122014123230