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12123103421412 = 223253271149915641
BaseRepresentation
bin1011000001101010000101…
…0001011110001111100100
31120220221211220212212010200
42300122201101132033210
53042111103433441122
641441135443350500
72360602542562524
oct260324121361744
946827756785120
1012123103421412
113954419918405
121439656982430
1369c28582c389
142dca9316d684
1516053a5985ac
hexb06a145e3e4

12123103421412 has 144 divisors (see below), whose sum is σ = 31360833504000. Its totient is φ = 3947270745600.

The previous prime is 12123103421389. The next prime is 12123103421417. The reversal of 12123103421412 is 21412430132121.

12123103421412 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 310 + 342 + 1 + 4 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12123103421417) 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, 775077112 + ... + 775092752.

It is an arithmetic number, because the mean of its divisors is an integer number (217783566000).

Almost surely, 212123103421412 is an apocalyptic number.

12123103421412 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 12123103421412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680416752000).

12123103421412 is an abundant number, since it is smaller than the sum of its proper divisors (19237730082588).

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

12123103421412 is a wasteful number, since it uses less digits than its factorization.

12123103421412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17474 (or 17469 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12123103421412 its reverse (21412430132121), we get a palindrome (33535533553533).

The spelling of 12123103421412 in words is "twelve trillion, one hundred twenty-three billion, one hundred three million, four hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 271 318 477 542 636 813 954 1084 1499 1626 1908 2439 2998 3252 4497 4878 5996 8994 9756 13491 14363 15641 17988 26982 28726 31282 43089 46923 53964 57452 62564 79447 86178 93846 129267 140769 158894 172356 187692 238341 258534 281538 317788 406229 476682 517068 563076 715023 812458 828973 953364 1218687 1430046 1624916 1657946 2437374 2486919 2860092 3315892 3656061 4238711 4874748 4973838 7312122 7460757 8477422 9947676 12716133 14624244 14921514 16954844 21530137 23445859 25432266 29843028 38148399 43060274 46891718 50864532 64590411 70337577 76296798 86120548 93783436 129180822 140675154 152593596 193771233 211012731 224651683 258361644 281350308 387542466 422025462 449303366 673955049 775084932 844050924 898606732 1242630527 1347910098 2021865147 2485261054 2695820196 3727891581 4043730294 4970522108 6353827789 7455783162 8087460588 11183674743 12707655578 14911566324 19061483367 22367349486 25415311156 38122966734 44734698972 57184450101 76245933468 114368900202 228737800404 336752872817 673505745634 1010258618451 1347011491268 2020517236902 3030775855353 4041034473804 6061551710706 12123103421412