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12212133133320 = 2334529129971617
BaseRepresentation
bin1011000110110101101111…
…0110110111110000001000
31121020110122112222211020000
42301231123312313300020
53100040422040231240
641550102043203000
72400204020624031
oct261553366676010
947213575884200
1012212133133320
11398915586970a
121452962816460
136a77a3618293
143030db255a88
151629eb662430
hexb1b5bdb7c08

12212133133320 has 160 divisors (see below), whose sum is σ = 42461727600600. Its totient is φ = 3144273334272.

The previous prime is 12212133133271. The next prime is 12212133133357. The reversal of 12212133133320 is 2333133121221.

12212133133320 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 1 + 331 + 3 + 3 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8141560568964 + 4070572564356 = 2853342^2 + 2017566^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64891849 + ... + 65079768.

Almost surely, 212212133133320 is an apocalyptic number.

12212133133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212133133320 is an abundant number, since it is smaller than the sum of its proper divisors (30249594467280).

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

12212133133320 is a wasteful number, since it uses less digits than its factorization.

12212133133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129971669 (or 129971656 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12212133133320 its reverse (2333133121221), we get a palindrome (14545266254541).

The spelling of 12212133133320 in words is "twelve trillion, two hundred twelve billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1566 1620 1740 2088 2349 2610 3132 3240 3480 3915 4698 5220 6264 7830 9396 10440 11745 15660 18792 23490 31320 46980 93960 129971617 259943234 389914851 519886468 649858085 779829702 1039772936 1169744553 1299716170 1559659404 1949574255 2339489106 2599432340 3119318808 3509233659 3769176893 3899148510 4678978212 5198864680 5848722765 7018467318 7538353786 7798297020 9357956424 10527700977 11307530679 11697445530 14036934636 15076707572 15596594040 17546168295 18845884465 21055401954 22615061358 23394891060 28073869272 30153415144 33922592037 35092336590 37691768930 42110803908 45230122716 46789782120 52638504885 56537653395 67845184074 70184673180 75383537860 84221607816 90460245432 101767776111 105277009770 113075306790 135690368148 140369346360 150767075720 169612960185 203535552222 210554019540 226150613580 271380736296 305303328333 339225920370 407071104444 421108039080 452301227160 508838880555 610606656666 678451840740 814142208888 1017677761110 1221213313332 1356903681480 1526516641665 2035355522220 2442426626664 3053033283330 4070711044440 6106066566660 12212133133320