Search a number
-
+
12112121200110 = 2353721182762533
BaseRepresentation
bin1011000001000001001010…
…1011100111110111101110
31120212220111112220012200120
42300100102223213313232
53041421111011400420
641432122012305410
72360033440334601
oct260202253476756
946786445805616
1012112121200110
11394a7a3722a58
1214374b0a72266
1369b2254bb089
142dc3307aa338
151600e636bd40
hexb0412ae7dee

12112121200110 has 128 divisors (see below), whose sum is σ = 30032985060864. Its totient is φ = 3123878607360.

The previous prime is 12112121200087. The next prime is 12112121200117. The reversal of 12112121200110 is 1100212121121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12112121200110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112121200117) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 193660404 + ... + 193722936.

It is an arithmetic number, because the mean of its divisors is an integer number (234632695788).

Almost surely, 212112121200110 is an apocalyptic number.

12112121200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112121200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15016492530432).

12112121200110 is an abundant number, since it is smaller than the sum of its proper divisors (17920863860754).

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

12112121200110 is a wasteful number, since it uses less digits than its factorization.

12112121200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63618.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12112121200110 its reverse (1100212121121), we get a palindrome (13212333321231).

The spelling of 12112121200110 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-one million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 211 222 370 422 555 633 827 1055 1110 1266 1654 2110 2481 3165 4135 4962 6330 7807 8270 12405 15614 23421 24810 30599 39035 46842 61198 62533 78070 91797 117105 125066 152995 174497 183594 187599 234210 305990 312665 348994 375198 458985 523491 625330 872485 917970 937995 1046982 1744970 1875990 2313721 2617455 4627442 5234910 6456389 6941163 11568605 12912778 13194463 13882326 19369167 23137210 26388926 32281945 34705815 38738334 39583389 51714791 64563890 65972315 69411630 79166778 96845835 103429582 131944630 155144373 193691670 197916945 258573955 310288746 395833890 488195131 517147910 775721865 976390262 1464585393 1551443730 1913447267 2440975655 2929170786 3826894534 4881951310 5740341801 7322926965 9567236335 10911820901 11480683602 14645853930 19134472670 21823641802 28701709005 32735462703 54559104505 57403418010 65470925406 109118209010 163677313515 327354627030 403737373337 807474746674 1211212120011 2018686866685 2422424240022 4037373733370 6056060600055 12112121200110