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12123203221320 = 2335431451751893
BaseRepresentation
bin1011000001101010011100…
…1110001011011101001000
31120220222002212200012212120
42300122213032023131020
53042111310011040240
641441153410411240
72360605164062412
oct260324716133510
946828085605776
1012123203221320
113954470192574
121439684290b20
1369c2a0402a89
142dcaa250b9b2
1516054420dad0
hexb06a738b748

12123203221320 has 128 divisors (see below), whose sum is σ = 36462766947840. Its totient is φ = 3224577182720.

The previous prime is 12123203221307. The next prime is 12123203221447. The reversal of 12123203221320 is 2312230232121.

It is a super-4 number, since 4×121232032213204 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233593294 + ... + 233645186.

It is an arithmetic number, because the mean of its divisors is an integer number (284865366780).

Almost surely, 212123203221320 is an apocalyptic number.

12123203221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123203221320 is an abundant number, since it is smaller than the sum of its proper divisors (24339563726520).

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

12123203221320 is a wasteful number, since it uses less digits than its factorization.

12123203221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56855 (or 56851 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12123203221320 its reverse (2312230232121), we get a palindrome (14435433453441).

The spelling of 12123203221320 in words is "twelve trillion, one hundred twenty-three billion, two hundred three million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 431 862 1293 1724 2155 2586 3448 4310 4517 5172 6465 8620 9034 10344 12930 13551 17240 18068 22585 25860 27102 36136 45170 51720 51893 54204 67755 90340 103786 108408 135510 155679 180680 207572 259465 271020 311358 415144 518930 542040 622716 778395 1037860 1245432 1556790 1946827 2075720 3113580 3893654 5840481 6227160 7787308 9734135 11680962 15574616 19468270 22365883 23361924 29202405 38936540 44731766 46723848 58404810 67097649 77873080 89463532 111829415 116809620 134195298 178927064 223658830 233619240 234400681 268390596 335488245 447317660 468801362 536781192 670976490 703202043 894635320 937602724 1172003405 1341952980 1406404086 1875205448 2344006810 2683905960 2812808172 3516010215 4688013620 5625616344 7032020430 9376027240 14064040860 28128081720 101026693511 202053387022 303080080533 404106774044 505133467555 606160161066 808213548088 1010266935110 1212320322132 1515400402665 2020533870220 2424640644264 3030800805330 4041067740440 6061601610660 12123203221320