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12011322130230 = 23571100914293911
BaseRepresentation
bin1010111011001001101010…
…0101101011111100110110
31120112021022200122220122010
42232302122211223330312
53033243141431131410
641313531502345050
72346534521355363
oct256623245537466
946467280586563
1012011322130230
113910a78231925
12141ba5b58b186
13691880292c27
142d74cb58346a
1515c696de0c20
hexaec9a96bf36

12011322130230 has 128 divisors (see below), whose sum is σ = 29290126694400. Its totient is φ = 3151762790400.

The previous prime is 12011322130229. The next prime is 12011322130237. The reversal of 12011322130230 is 3203122311021.

It is a junction number, because it is equal to n+sod(n) for n = 12011322130197 and 12011322130206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011322130237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3071161975 + ... + 3071165885.

It is an arithmetic number, because the mean of its divisors is an integer number (228829114800).

Almost surely, 212011322130230 is an apocalyptic number.

12011322130230 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 12011322130230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14645063347200).

12011322130230 is an abundant number, since it is smaller than the sum of its proper divisors (17278804564170).

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

12011322130230 is a wasteful number, since it uses less digits than its factorization.

12011322130230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12011322130230 its reverse (3203122311021), we get a palindrome (15214444441251).

The spelling of 12011322130230 in words is "twelve trillion, eleven billion, three hundred twenty-two million, one hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 1009 1065 1429 2018 2130 2858 3027 3911 4287 5045 6054 7145 7822 8574 10090 11733 14290 15135 19555 21435 23466 30270 39110 42870 58665 71639 101459 117330 143278 202918 214917 277681 304377 358195 429834 507295 555362 608754 716390 833043 1014590 1074585 1388405 1441861 1521885 1666086 2149170 2776810 2883722 3043770 3946199 4165215 4325583 5588819 7209305 7892398 8330430 8651166 11177638 11838597 14418610 16766457 19730995 21627915 23677194 27944095 33532914 39461990 43255830 55888190 59192985 83832285 102372131 118385970 167664570 204744262 280180129 307116393 396806149 511860655 560360258 614232786 793612298 840540387 1023721310 1190418447 1400900645 1535581965 1681080774 1984030745 2380836894 2801801290 3071163930 3968061490 4202701935 5639118371 5952092235 8405403870 11278236742 11904184470 16917355113 28195591855 33834710226 56391183710 84586775565 169173551130 400377404341 800754808682 1201132213023 2001887021705 2402264426046 4003774043410 6005661065115 12011322130230