Search a number
-
+
12104120433420 = 22325198237429673
BaseRepresentation
bin1011000000100011010111…
…0011000111101100001100
31120212010211222001011002100
42300020311303013230030
53041303214312332140
641424320044155100
72356331250052311
oct260106563075414
946763758034070
1012104120433420
113947368481584
121435a39538a90
1369a54ba69cc2
142dbbb1d82d08
1515ecc8c6e530
hexb0235cc7b0c

12104120433420 has 144 divisors (see below), whose sum is σ = 38653026179040. Its totient is φ = 3057504703488.

The previous prime is 12104120433397. The next prime is 12104120433463. The reversal of 12104120433420 is 2433402140121.

12104120433420 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 4 + 1 + 204 + 33 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27955704 + ... + 28385376.

It is an arithmetic number, because the mean of its divisors is an integer number (268423792910).

Almost surely, 212104120433420 is an apocalyptic number.

12104120433420 is a gapful number since it is divisible by the number (10) 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 12104120433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19326513089520).

12104120433420 is an abundant number, since it is smaller than the sum of its proper divisors (26548905745620).

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

12104120433420 is a wasteful number, since it uses less digits than its factorization.

12104120433420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437944 (or 437939 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12104120433420 its reverse (2433402140121), we get a palindrome (14537522573541).

The spelling of 12104120433420 in words is "twelve trillion, one hundred four billion, one hundred twenty million, four hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 8237 16474 24711 32948 41185 49422 74133 82370 98844 123555 148266 156503 164740 247110 296532 313006 370665 429673 469509 494220 626012 741330 782515 859346 939018 1289019 1408527 1482660 1565030 1718692 1878036 2148365 2347545 2578038 2817054 3130060 3867057 4296730 4695090 5156076 5634108 6445095 7042635 7734114 8163787 8593460 9390180 12890190 14085270 15468228 16327574 19335285 24491361 25780380 28170540 32655148 38670570 40818935 48982722 73474083 77341140 81637870 97965444 122456805 146948166 163275740 244913610 293896332 367370415 489827220 734740830 1469481660 3539216501 7078433002 10617649503 14156866004 17696082505 21235299006 31852948509 35392165010 42470598012 53088247515 63705897018 67245113519 70784330020 106176495030 127411794036 134490227038 159264742545 201735340557 212352990060 268980454076 318529485090 336225567595 403470681114 605206021671 637058970180 672451135190 806941362228 1008676702785 1210412043342 1344902270380 2017353405570 2420824086684 3026030108355 4034706811140 6052060216710 12104120433420