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12233201232120 = 23351123402938117
BaseRepresentation
bin1011001000000100001110…
…0111010010100011111000
31121022111000211100010120120
42302001003213102203320
53100412044003411440
642003504405453240
72401551062536431
oct262010347224370
947274024303516
1012233201232120
1139970871a4110
121456a62411220
136a978038442b
14304139334488
15163331061dd0
hexb20439d28f8

12233201232120 has 128 divisors (see below), whose sum is σ = 41776624074240. Its totient is φ = 2836684336640.

The previous prime is 12233201232101. The next prime is 12233201232127. The reversal of 12233201232120 is 2123210233221.

It is a super-2 number, since 2×122332012321202 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233201232127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201438699 + ... + 201499418.

It is an arithmetic number, because the mean of its divisors is an integer number (326379875580).

Almost surely, 212233201232120 is an apocalyptic number.

12233201232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12233201232120 is an abundant number, since it is smaller than the sum of its proper divisors (29543422842120).

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

12233201232120 is a wasteful number, since it uses less digits than its factorization.

12233201232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402938165 (or 402938161 counting only the distinct ones).

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

Adding to 12233201232120 its reverse (2123210233221), we get a palindrome (14356411465341).

The spelling of 12233201232120 in words is "twelve trillion, two hundred thirty-three billion, two hundred one million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 402938117 805876234 1208814351 1611752468 2014690585 2417628702 3223504936 4029381170 4432319287 4835257404 6044071755 8058762340 8864638574 9267576691 9670514808 12088143510 13296957861 16117524680 17729277148 18535153382 22161596435 24176287020 26593915722 27802730073 35458554296 37070306764 44323192870 46337883455 48352574040 53187831444 55605460146 66484789305 74140613528 88646385740 92675766910 101943343601 106375662888 111210920292 132969578610 139013650365 177292771480 185351533820 203886687202 222421840584 265939157220 278027300730 305830030803 370703067640 407773374404 509716718005 531878314440 556054601460 611660061606 815546748808 1019433436010 1112109202920 1223320123212 1529150154015 2038866872020 2446640246424 3058300308030 4077733744040 6116600616060 12233201232120