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12112120121022 = 23229471031478843
BaseRepresentation
bin1011000001000001001010…
…0111100000011010111110
31120212220111110212101110100
42300100102213200122332
53041421110222333042
641432121533221530
72360033425221555
oct260202247403276
946786443771410
1012112120121022
11394a7a3056249
1214374b06318a6
1369b225200b6c
142dc3305a8d9c
151600e620724c
hexb04129e06be

12112120121022 has 96 divisors (see below), whose sum is σ = 27752419169280. Its totient is φ = 3811505705280.

The previous prime is 12112120120987. The next prime is 12112120121027. The reversal of 12112120121022 is 22012102121121.

12112120121022 is a `hidden beast` number, since 1 + 211 + 21 + 201 + 210 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12112120120986 and 12112120121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112120121027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25055133 + ... + 25533975.

It is an arithmetic number, because the mean of its divisors is an integer number (289087699680).

Almost surely, 212112120121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112120121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876209584640).

12112120121022 is an abundant number, since it is smaller than the sum of its proper divisors (15640299048258).

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

12112120121022 is a wasteful number, since it uses less digits than its factorization.

12112120121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479958 (or 479955 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12112120121022 its reverse (22012102121121), we get a palindrome (34124222242143).

The spelling of 12112120121022 in words is "twelve trillion, one hundred twelve billion, one hundred twenty million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 141 174 261 282 423 522 846 1031 1363 2062 2726 3093 4089 6186 8178 9279 12267 18558 24534 29899 48457 59798 89697 96914 145371 179394 269091 290742 436113 478843 538182 872226 957686 1405253 1436529 2810506 2873058 4215759 4309587 8431518 8619174 12647277 13886447 22505621 25294554 27772894 41659341 45011242 67516863 83318682 124978023 135033726 202550589 249956046 405101178 493687133 652663009 987374266 1305326018 1481061399 1957989027 2962122798 3915978054 4443184197 5873967081 8886368394 11747934162 14316926857 23203295251 28633853714 42950780571 46406590502 69609885753 85901561142 128852341713 139219771506 208829657259 257704683426 417659314518 672895562279 1345791124558 2018686686837 4037373373674 6056060060511 12112120121022