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12232225432700 = 22527134331260479
BaseRepresentation
bin1011001000000000100101…
…1100111010010001111100
31121022101111211012101102022
42302000021130322101330
53100403044202321300
642003223511015312
72401514643431240
oct262001134722174
947271454171368
1012232225432700
1139967263aa609
12145682b66a538
136a965616b620
143040858c6420
151632c5561285
hexb200973a47c

12232225432700 has 144 divisors (see below), whose sum is σ = 33429207060480. Its totient is φ = 3781267418880.

The previous prime is 12232225432667. The next prime is 12232225432703. The reversal of 12232225432700 is 723452223221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232225432703) 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 47 ways as a sum of consecutive naturals, for example, 15238940 + ... + 16021539.

Almost surely, 212232225432700 is an apocalyptic number.

12232225432700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12232225432700 is an abundant number, since it is smaller than the sum of its proper divisors (21196981627780).

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

12232225432700 is a wasteful number, since it uses less digits than its factorization.

12232225432700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31260556 (or 31260549 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

Adding to 12232225432700 its reverse (723452223221), we get a palindrome (12955677655921).

The spelling of 12232225432700 in words is "twelve trillion, two hundred thirty-two billion, two hundred twenty-five million, four hundred thirty-two thousand, seven hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 43 50 52 65 70 86 91 100 130 140 172 175 182 215 260 301 325 350 364 430 455 559 602 650 700 860 910 1075 1118 1204 1300 1505 1820 2150 2236 2275 2795 3010 3913 4300 4550 5590 6020 7525 7826 9100 11180 13975 15050 15652 19565 27950 30100 39130 55900 78260 97825 195650 391300 31260479 62520958 125041916 156302395 218823353 312604790 406386227 437646706 625209580 781511975 812772454 875293412 1094116765 1344200597 1563023950 1625544908 2031931135 2188233530 2688401194 2844703589 3126047900 4063862270 4376467060 5376802388 5470583825 5689407178 6721002985 8127724540 9409404179 10159655675 10941167650 11378814356 13442005970 14223517945 17474607761 18818808358 20319311350 21882335300 26884011940 28447035890 33605014925 34949215522 37637616716 40638622700 47047020895 56894071780 67210029850 69898431044 71117589725 87373038805 94094041790 122322254327 134420059700 142235179450 174746077610 188188083580 235235104475 244644508654 284470358900 349492155220 436865194025 470470208950 489289017308 611611271635 873730388050 940940417900 1223222543270 1747460776100 2446445086540 3058056358175 6116112716350 12232225432700