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12234155113200 = 2435218156326681
BaseRepresentation
bin1011001000000111110001…
…1110000011101011110000
31121022120111022020022102110
42302001330132003223300
53100421022202110300
642004143202445320
72401613524436016
oct262017436035360
947276438208373
1012234155113200
113997526688089
121457089963840
136a98a2b948c7
143041c9cb88b6
15163389b83550
hexb207c783af0

12234155113200 has 120 divisors (see below), whose sum is σ = 39406597340656. Its totient is φ = 3244416768000.

The previous prime is 12234155113183. The next prime is 12234155113207. The reversal of 12234155113200 is 231155143221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12234155113207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27946141 + ... + 28380540.

Almost surely, 212234155113200 is an apocalyptic number.

12234155113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12234155113200 is an abundant number, since it is smaller than the sum of its proper divisors (27172442227456).

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

12234155113200 is a wasteful number, since it uses less digits than its factorization.

12234155113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56326883 (or 56326872 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 12234155113200 in words is "twelve trillion, two hundred thirty-four billion, one hundred fifty-five million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 181 200 240 300 362 400 543 600 724 905 1086 1200 1448 1810 2172 2715 2896 3620 4344 4525 5430 7240 8688 9050 10860 13575 14480 18100 21720 27150 36200 43440 54300 72400 108600 217200 56326681 112653362 168980043 225306724 281633405 337960086 450613448 563266810 675920172 844900215 901226896 1126533620 1351840344 1408167025 1689800430 2253067240 2703680688 2816334050 3379600860 4224501075 4506134480 5632668100 6759201720 8449002150 10195129261 11265336200 13518403440 16898004300 20390258522 22530672400 30585387783 33796008600 40780517044 50975646305 61170775566 67592017200 81561034088 101951292610 122341551132 152926938915 163122068176 203902585220 244683102264 254878231525 305853877830 407805170440 489366204528 509756463050 611707755660 764634694575 815610340880 1019512926100 1223415511320 1529269389150 2039025852200 2446831022640 3058538778300 4078051704400 6117077556600 12234155113200