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12011023021212 = 223229101138182483
BaseRepresentation
bin1010111011001000100011…
…0000101011010010011100
31120112020112211211121012100
42232302020300223102130
53033242033343134322
641313442055405100
72346524230106415
oct256621060532234
946466484747170
1012011023021212
113910934406896
12141b997383790
13691833317847
142d749d96280c
1515c67aa0adac
hexaec88c2b49c

12011023021212 has 144 divisors (see below), whose sum is σ = 31742459592480. Its totient is φ = 3824525376000.

The previous prime is 12011023021157. The next prime is 12011023021219. The reversal of 12011023021212 is 21212032011021.

12011023021212 is a `hidden beast` number, since 1 + 201 + 1 + 0 + 230 + 21 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011023021219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145576923 + ... + 145659405.

It is an arithmetic number, because the mean of its divisors is an integer number (220433747170).

Almost surely, 212011023021212 is an apocalyptic number.

12011023021212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011023021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15871229796240).

12011023021212 is an abundant number, since it is smaller than the sum of its proper divisors (19731436571268).

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

12011023021212 is a wasteful number, since it uses less digits than its factorization.

12011023021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84004 (or 83999 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12011023021212 its reverse (21212032011021), we get a palindrome (33223055032233).

The spelling of 12011023021212 in words is "twelve trillion, eleven billion, twenty-three million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 101 116 174 202 261 303 348 404 522 606 909 1044 1212 1381 1818 2762 2929 3636 4143 5524 5858 8286 8787 11716 12429 16572 17574 24858 26361 35148 40049 49716 52722 80098 82483 105444 120147 139481 160196 164966 240294 247449 278962 329932 360441 418443 480588 494898 557924 720882 742347 836886 989796 1255329 1441764 1484694 1673772 2392007 2510658 2969388 4044949 4784014 5021316 7176021 8089898 8330783 9568028 12134847 14352042 16179796 16661566 21528063 24269694 24992349 28704084 33323132 36404541 43056126 48539388 49984698 72809082 74977047 86112252 99969396 113909023 145618164 149954094 227818046 241592707 299908188 341727069 455636092 483185414 683454138 724778121 966370828 1025181207 1366908276 1449556242 2050362414 2174334363 2899112484 3303361667 4100724828 4348668726 6606723334 8697337452 9910085001 11504811323 13213446668 19820170002 23009622646 29730255003 34514433969 39640340004 46019245292 59460510006 69028867938 103543301907 118921020012 138057735876 207086603814 333639528367 414173207628 667279056734 1000918585101 1334558113468 2001837170202 3002755755303 4003674340404 6005511510606 12011023021212