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12222111132 = 223271129152039
BaseRepresentation
bin10110110000111111…
…01001110110011100
31011112210001120112200
423120133221312130
5200012330024012
65340442131500
7611606142030
oct133037516634
934483046480
1012222111132
115202076aa0
1224511b0b90
1311ca19112a
1483d3181c0
154b7ee63dc
hex2d87e9d9c

12222111132 has 144 divisors (see below), whose sum is σ = 39846643200. Its totient is φ = 3065086080.

The previous prime is 12222111127. The next prime is 12222111157. The reversal of 12222111132 is 23111122221.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4369 + ... + 156407.

It is an arithmetic number, because the mean of its divisors is an integer number (276712800).

Almost surely, 212222111132 is an apocalyptic number.

12222111132 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 12222111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19923321600).

12222111132 is an abundant number, since it is smaller than the sum of its proper divisors (27624532068).

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

12222111132 is a wasteful number, since it uses less digits than its factorization.

12222111132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152096 (or 152091 counting only the distinct ones).

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

Adding to 12222111132 its reverse (23111122221), we get a palindrome (35333233353).

The spelling of 12222111132 in words is "twelve billion, two hundred twenty-two million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 29 33 36 42 44 58 63 66 77 84 87 99 116 126 132 154 174 198 203 231 252 261 308 319 348 396 406 462 522 609 638 693 812 924 957 1044 1218 1276 1386 1827 1914 2233 2436 2772 2871 3654 3828 4466 5742 6699 7308 8932 11484 13398 20097 26796 40194 80388 152039 304078 456117 608156 912234 1064273 1368351 1672429 1824468 2128546 2736702 3192819 3344858 4257092 4409131 5017287 5473404 6385638 6689716 8818262 9578457 10034574 11707003 12771276 13227393 15051861 17636524 19156914 20069148 23414006 26454786 30103722 30863917 35121009 38313828 39682179 46828012 48500441 52909572 60207444 61727834 70242018 79364358 92591751 97000882 105363027 123455668 140484036 145501323 158728716 185183502 194001764 210726054 277775253 291002646 339503087 370367004 421452108 436503969 555550506 582005292 679006174 873007938 1018509261 1111101012 1358012348 1746015876 2037018522 3055527783 4074037044 6111055566 12222111132