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12112111001034 = 23311971131860301
BaseRepresentation
bin1011000001000001001000…
…0100101101110111001010
31120212220110211201001012000
42300100102010231313022
53041421100404013114
641432121005531430
72360033254545642
oct260202204556712
946786424631160
1012112111001034
11394a798997270
1214374a9573b76
1369b223359a15
142dc32d2b3522
151600e5504e09
hexb041212ddca

12112111001034 has 128 divisors (see below), whose sum is σ = 29927943279360. Its totient is φ = 3600350208000.

The previous prime is 12112111001021. The next prime is 12112111001057. The reversal of 12112111001034 is 43010011121121.

It is a super-3 number, since 3×121121110010343 (a number of 40 digits) contains 333 as substring.

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 = 12112111000998 and 12112111001016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5580684 + ... + 7440984.

It is an arithmetic number, because the mean of its divisors is an integer number (233812056870).

Almost surely, 212112111001034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112111001034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14963971639680).

12112111001034 is an abundant number, since it is smaller than the sum of its proper divisors (17815832278326).

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

12112111001034 is a wasteful number, since it uses less digits than its factorization.

12112111001034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860533 (or 1860527 counting only the distinct ones).

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

Adding to 12112111001034 its reverse (43010011121121), we get a palindrome (55122122122155).

The spelling of 12112111001034 in words is "twelve trillion, one hundred twelve billion, one hundred eleven million, one thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 97 99 113 194 198 226 291 297 339 582 594 678 873 1017 1067 1243 1746 2034 2134 2486 2619 3051 3201 3729 5238 6102 6402 7458 9603 10961 11187 19206 21922 22374 28809 32883 33561 57618 65766 67122 98649 120571 197298 241142 295947 361713 591894 723426 1085139 1860301 2170278 3255417 3720602 5580903 6510834 11161806 16742709 20463311 33485418 40926622 50228127 61389933 100456254 122779866 180449197 184169799 210214013 360898394 368339598 420428026 541347591 552509397 630642039 1082695182 1105018794 1261284078 1624042773 1891926117 1984941167 2312354143 3248085546 3783852234 3969882334 4624708286 4872128319 5675778351 5954823501 6937062429 9744256638 11351556702 11909647002 13874124858 17864470503 20390759261 20811187287 35728941006 40781518522 41622374574 53593411509 61172277783 62433561861 107186823018 122344555566 124867123722 183516833349 224298351871 367033666698 448596703742 550550500047 672895055613 1101101000094 1345790111226 2018685166839 4037370333678 6056055500517 12112111001034