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12112200211221 = 341129538844463
BaseRepresentation
bin1011000001000001011101…
…1001000001101100010101
31120212220201001120101120000
42300100113121001230111
53041421241223224341
641432133514001513
72360035420041645
oct260202731015425
946786631511500
1012112200211221
11394a8342891a0
121437513416299
1369b238993306
142dc33b096525
151600ed2778b6
hexb0417641b15

12112200211221 has 80 divisors (see below), whose sum is σ = 20804301999360. Its totient is φ = 6953869802880.

The previous prime is 12112200211219. The next prime is 12112200211229. The reversal of 12112200211221 is 12211200221121.

12112200211221 is a `hidden beast` number, since 1 + 2 + 11 + 220 + 0 + 211 + 221 = 666.

It is not a de Polignac number, because 12112200211221 - 21 = 12112200211219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12112200211194 and 12112200211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112200211229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3052765 + ... + 5791698.

It is an arithmetic number, because the mean of its divisors is an integer number (260053774992).

Almost surely, 212112200211221 is an apocalyptic number.

12112200211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112200211221 is a deficient number, since it is larger than the sum of its proper divisors (8692101788139).

12112200211221 is a wasteful number, since it uses less digits than its factorization.

12112200211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844568 (or 8844559 counting only the distinct ones).

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

Adding to 12112200211221 its reverse (12211200221121), we get a palindrome (24323400432342).

The spelling of 12112200211221 in words is "twelve trillion, one hundred twelve billion, two hundred million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 29 33 53 81 87 99 159 261 297 319 477 583 783 891 957 1431 1537 1749 2349 2871 4293 4611 5247 8613 13833 15741 16907 25839 41499 47223 50721 124497 152163 456489 1369467 8844463 26533389 79600167 97289093 238800501 256489427 291867279 468756539 716401503 769468281 875601837 1406269617 2308404843 2626805511 2821383697 4218808851 5156321929 6925214529 7880416533 8464151091 12656426553 13593939631 15468965787 20775643587 25392453273 37969279659 40781818893 46406897361 76177359819 122345456679 139220692083 149533335941 228532079457 367036370037 417662076249 448600007823 1101109110111 1345800023469 4037400070407 12112200211221