Search a number
-
+
12114240322332 = 22329437011154863
BaseRepresentation
bin1011000001001001000011…
…1111011011101100011100
31120220002222020101202212210
42300102100333123230130
53041434431010303312
641433112152400420
72360140111513521
oct260222077335434
946802866352783
1012114240322332
113950690931935
1214379a26a6110
1369b4a2542955
142dc491dd3148
151601bc40ee3c
hexb0490fdbb1c

12114240322332 has 96 divisors (see below), whose sum is σ = 29964008954880. Its totient is φ = 3802729593600.

The previous prime is 12114240322321. The next prime is 12114240322337. The reversal of 12114240322332 is 23322304241121.

It is a happy number.

12114240322332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121142403223323 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12114240322332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114240322337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9912333 + ... + 11067195.

It is an arithmetic number, because the mean of its divisors is an integer number (312125093280).

Almost surely, 212114240322332 is an apocalyptic number.

12114240322332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12114240322332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982004477440).

12114240322332 is an abundant number, since it is smaller than the sum of its proper divisors (17849768632548).

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

12114240322332 is a wasteful number, since it uses less digits than its factorization.

12114240322332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155643 (or 1155641 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12114240322332 its reverse (23322304241121), we get a palindrome (35436544563453).

The spelling of 12114240322332 in words is "twelve trillion, one hundred fourteen billion, two hundred forty million, three hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 701 1247 1402 2103 2494 2804 3741 4206 4988 7482 8412 14964 20329 30143 40658 60286 60987 81316 90429 120572 121974 180858 243948 361716 874147 1154863 1748294 2309726 2622441 3464589 3496588 4619452 5244882 6929178 10489764 13858356 33491027 49659109 66982054 99318218 100473081 133964108 148977327 198636436 200946162 297954654 401892324 595909308 809558963 1440114161 1619117926 2428676889 2880228322 3238235852 4320342483 4857353778 5760456644 8640684966 9714707556 17281369932 23477209927 34811035409 46954419854 69622070818 70431629781 93908839708 104433106227 139244141636 140863259562 208866212454 281726519124 417732424908 1009520026861 2019040053722 3028560080583 4038080107444 6057120161166 12114240322332