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12241134100320 = 253571935469211
BaseRepresentation
bin1011001000100001110001…
…1100110001111101100000
31121100020111200102120221220
42302020130130301331200
53101024320312202240
642011255510415040
72402251500030156
oct262103434617540
947306450376856
1012241134100320
11399a48808a434
1214584b7061480
136aa445a21398
1430468cb253d6
151636476eb5d0
hexb221c731f60

12241134100320 has 96 divisors (see below), whose sum is σ = 38613202951680. Its totient is φ = 3259762275840.

The previous prime is 12241134100301. The next prime is 12241134100423. The reversal of 12241134100320 is 2300143114221.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17389486 + ... + 18079725.

It is an arithmetic number, because the mean of its divisors is an integer number (402220864080).

Almost surely, 212241134100320 is an apocalyptic number.

12241134100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12241134100320 is an abundant number, since it is smaller than the sum of its proper divisors (26372068851360).

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

12241134100320 is a wasteful number, since it uses less digits than its factorization.

12241134100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35469948 (or 35469940 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12241134100320 its reverse (2300143114221), we get a palindrome (14541277214541).

The spelling of 12241134100320 in words is "twelve trillion, two hundred forty-one billion, one hundred thirty-four million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 719 1438 2157 2876 3595 4314 5752 7190 8628 10785 11504 14380 17256 21570 23008 28760 34512 43140 57520 69024 86280 115040 172560 345120 35469211 70938422 106407633 141876844 177346055 212815266 283753688 354692110 425630532 532038165 567507376 709384220 851261064 1064076330 1135014752 1418768440 1702522128 2128152660 2837536880 3405044256 4256305320 5675073760 8512610640 17025221280 25502362709 51004725418 76507088127 102009450836 127511813545 153014176254 204018901672 255023627090 306028352508 382535440635 408037803344 510047254180 612056705016 765070881270 816075606688 1020094508360 1224113410032 1530141762540 2040189016720 2448226820064 3060283525080 4080378033440 6120567050160 12241134100320