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12112110222201 = 32112196018111201
BaseRepresentation
bin1011000001000001001000…
…0001101111101101111001
31120212220110210020110211100
42300100102001233231321
53041421100204102301
641432120541122013
72360033245123203
oct260202201575571
946786423213740
1012112110222201
11394a798505100
1214374a9259309
1369b223146382
142dc32d14d773
151600e53ee286
hexb041206fb79

12112110222201 has 144 divisors (see below), whose sum is σ = 20318047771840. Its totient is φ = 6928416000000.

The previous prime is 12112110222161. The next prime is 12112110222269. The reversal of 12112110222201 is 10222201121121.

12112110222201 is a `hidden beast` number, since 1 + 211 + 21 + 10 + 222 + 201 = 666.

It is not a de Polignac number, because 12112110222201 - 211 = 12112110220153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12112110222301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10085020401 + ... + 10085021601.

Almost surely, 212112110222201 is an apocalyptic number.

12112110222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112110222201 is a deficient number, since it is larger than the sum of its proper divisors (8205937549639).

12112110222201 is a wasteful number, since it uses less digits than its factorization.

12112110222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2646 counting only the distinct ones).

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

Adding to 12112110222201 its reverse (10222201121121), we get a palindrome (22334311343322).

The spelling of 12112110222201 in words is "twelve trillion, one hundred twelve billion, one hundred ten million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 11 19 33 57 99 121 171 209 363 601 627 811 1089 1201 1803 1881 2299 2433 3603 5409 6611 6897 7299 8921 10809 11419 13211 15409 19833 20691 22819 26763 34257 39633 46227 59499 68457 72721 80289 98131 102771 118899 125609 138681 145321 169499 205371 218163 251009 294393 376827 435963 487411 508497 654489 721801 753027 883179 974011 1130481 1307889 1381699 1462233 1525491 1864489 2165403 2259081 2761099 2922033 4145097 4386699 5361521 5593467 6496209 7939811 8283297 8766099 9260809 10714121 12435291 13714219 16084563 16780401 18506209 23819433 24849891 27782427 32142363 41142657 48253689 55518627 58976731 71458299 83347281 87337921 96427089 101868899 117855331 123427971 150856409 166555881 176930193 203568299 262013763 305606697 353565993 452569227 530790579 585380611 610704897 786041289 916820091 1060697979 1120557889 1357707681 1659420499 1756141833 1832114691 2239251289 3361673667 4978261497 5268425499 6439186721 6717753867 10085021001 11122231609 14934784491 19317560163 20153261601 33366694827 57952680489 70831053931 100100084481 122344547699 212493161793 367033643097 637479485379 1101100929291 1345790024689 4037370074067 12112110222201