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12330011112224 = 2513281647163027
BaseRepresentation
bin1011001101101100110111…
…1011101011001100100000
31121122201220200012121000112
42303123031323223030200
53104003330321042344
642120155013310452
72411546112125021
oct263331573531440
947581820177015
1012330011112224
113a24145914993
12147177b935428
136b593aca4460
14308ac081cc48
15165aea1a0c9e
hexb36cdeeb320

12330011112224 has 96 divisors (see below), whose sum is σ = 26275736624256. Its totient is φ = 5661723432960.

The previous prime is 12330011112179. The next prime is 12330011112241. The reversal of 12330011112224 is 42221111003321.

It is a self number, because there is not a number n which added to its sum of digits gives 12330011112224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75550199 + ... + 75713225.

It is an arithmetic number, because the mean of its divisors is an integer number (273705589836).

Almost surely, 212330011112224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330011112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137868312128).

12330011112224 is an abundant number, since it is smaller than the sum of its proper divisors (13945725512032).

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

12330011112224 is a wasteful number, since it uses less digits than its factorization.

12330011112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163978 (or 163970 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 12330011112224 its reverse (42221111003321), we get a palindrome (54551122115545).

The spelling of 12330011112224 in words is "twelve trillion, three hundred thirty billion, eleven million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 281 416 562 647 1124 1294 2248 2588 3653 4496 5176 7306 8411 8992 10352 14612 16822 20704 29224 33644 58448 67288 116896 134576 163027 181807 269152 326054 363614 652108 727228 1304216 1454456 2119351 2363491 2608432 2908912 4238702 4726982 5216864 5817824 8477404 9453964 16954808 18907928 33909616 37815856 45810587 67819232 75631712 91621174 105478469 183242348 210956938 366484696 421913876 595537631 732969392 843827752 1191075262 1371220097 1465938784 1687655504 2382150524 2742440194 3375311008 4764301048 5484880388 9528602096 10969760776 19057204192 21939521552 29639449789 43879043104 59278899578 118557799156 237115598312 385312847257 474231196624 770625694514 948462393248 1541251389028 3082502778056 6165005556112 12330011112224