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12231111201012 = 22341113192601857
BaseRepresentation
bin1011000111111100011100…
…0010011101000011110100
31121022021122011120112220000
42301333013002131003310
53100343303431413022
642002521145111300
72401445223552324
oct261770702350364
947267564515800
1012231111201012
113996204454880
12145657a488530
136a9509376c32
14303dbb921284
1516325c8186ac
hexb1fc709d0f4

12231111201012 has 120 divisors (see below), whose sum is σ = 34907775819840. Its totient is φ = 3703585904640.

The previous prime is 12231111200977. The next prime is 12231111201047. The reversal of 12231111201012 is 21010211113221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12231111200977) and next prime (12231111201047).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3399988 + ... + 6001844.

It is an arithmetic number, because the mean of its divisors is an integer number (290898131832).

Almost surely, 212231111201012 is an apocalyptic number.

12231111201012 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 12231111201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17453887909920).

12231111201012 is an abundant number, since it is smaller than the sum of its proper divisors (22676664618828).

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

12231111201012 is a wasteful number, since it uses less digits than its factorization.

12231111201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603203 (or 2603192 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12231111201012 its reverse (21010211113221), we get a palindrome (33241322314233).

The spelling of 12231111201012 in words is "twelve trillion, two hundred thirty-one billion, one hundred eleven million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1319 1782 2638 3564 3957 5276 7914 11871 14509 15828 23742 29018 35613 43527 47484 58036 71226 87054 106839 130581 142452 174108 213678 261162 391743 427356 522324 783486 1175229 1566972 2350458 2601857 4700916 5203714 7805571 10407428 15611142 23416713 28620427 31222284 46833426 57240854 70250139 85861281 93666852 114481708 140500278 171722562 210750417 257583843 281000556 343445124 421500834 515167686 772751529 843001668 1030335372 1545503058 2318254587 3091006116 3431849383 4636509174 6863698766 9273018348 10295548149 13727397532 20591096298 30886644447 37750343213 41182192596 61773288894 75500686426 92659933341 113251029639 123546577788 151001372852 185319866682 226502059278 277979800023 339753088917 370639733364 453004118556 555959600046 679506177834 1019259266751 1111919200092 1359012355668 2038518533502 3057777800253 4077037067004 6115555600506 12231111201012