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12002111221212 = 22327613330123537
BaseRepresentation
bin1010111010100111010110…
…0100110110110111011100
31120111101112202201020211200
42232221311210312313130
53033120310433034322
641305405504515500
72346060335053260
oct256516544666734
946441482636750
1012002111221212
113908080987622
12141a10a91bb90
13690a42c090c8
142d6c9614a0a0
1515c3084528ac
hexaea75936ddc

12002111221212 has 144 divisors (see below), whose sum is σ = 34741324992192. Its totient is φ = 3422398003200.

The previous prime is 12002111221201. The next prime is 12002111221213. The reversal of 12002111221212 is 21212211120021.

12002111221212 is a `hidden beast` number, since 1 + 20 + 0 + 211 + 1 + 221 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002111221213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509913508 + ... + 509937044.

Almost surely, 212002111221212 is an apocalyptic number.

12002111221212 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 12002111221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17370662496096).

12002111221212 is an abundant number, since it is smaller than the sum of its proper divisors (22739213770980).

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

12002111221212 is a wasteful number, since it uses less digits than its factorization.

12002111221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27468 (or 27463 counting only the distinct ones).

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

Adding to 12002111221212 its reverse (21212211120021), we get a palindrome (33214322341233).

The spelling of 12002111221212 in words is "twelve trillion, two billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 613 1226 1839 2452 3301 3678 4291 5517 6602 7356 8582 9903 11034 12873 13204 17164 19806 22068 23107 23537 25746 29709 38619 39612 46214 47074 51492 59418 69321 70611 77238 92428 94148 118836 138642 141222 154476 164759 207963 211833 277284 282444 329518 415926 423666 494277 659036 831852 847332 988554 1482831 1977108 2023513 2965662 4047026 5931324 6070539 8094052 12141078 14164591 14428181 18211617 24282156 28329182 28856362 36423234 42493773 43284543 56658364 57712724 72846468 77695637 84987546 86569086 100997267 127481319 129853629 155391274 169975092 173138172 201994534 233086911 254962638 259707258 302991801 310782548 403989068 466173822 509925276 519414516 543869459 605983602 699260733 908975403 932347644 1087738918 1211967204 1398521466 1631608377 1817950806 2175477836 2797042932 3263216754 3635901612 4894825131 6526433508 9789650262 19579300524 47627425481 95254850962 142882276443 190509701924 285764552886 333391978367 428646829329 571529105772 666783956734 857293658658 1000175935101 1333567913468 1714587317316 2000351870202 3000527805303 4000703740404 6001055610606 12002111221212