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12252305303040 = 293511145032023
BaseRepresentation
bin1011001001001011011001…
…0011100010011000000000
31121101022100020000111011210
42302102312103202120000
53101220210124144130
642020344212210120
72403125355501255
oct262226623423000
947338306014153
1012252305303040
1139a419aa21380
12145a6b4309940
136ab50625c5ca
1430502c63d42c
15163a9d3075b0
hexb24b64e2600

12252305303040 has 160 divisors (see below), whose sum is σ = 42729915038976. Its totient is φ = 2970255810560.

The previous prime is 12252305303009. The next prime is 12252305303057. The reversal of 12252305303040 is 4030350325221.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a junction number, because it is equal to n+sod(n) for n = 12252305302989 and 12252305303007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72431532 + ... + 72600491.

Almost surely, 212252305303040 is an apocalyptic number.

12252305303040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12252305303040 is an abundant number, since it is smaller than the sum of its proper divisors (30477609735936).

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

12252305303040 is a wasteful number, since it uses less digits than its factorization.

12252305303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145032060 (or 145032044 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 12252305303040 its reverse (4030350325221), we get a palindrome (16282655628261).

The spelling of 12252305303040 in words is "twelve trillion, two hundred fifty-two billion, three hundred five million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 16896 21120 28160 42240 84480 145032023 290064046 435096069 580128092 725160115 870192138 1160256184 1450320230 1595352253 1740384276 2175480345 2320512368 2900640460 3190704506 3480768552 4350960690 4641024736 4786056759 5801280920 6381409012 6961537104 7976761265 8701921380 9282049472 9572113518 11602561840 12762818024 13923074208 15953522530 17403842760 18564098944 19144227036 23205123680 23930283795 25525636048 27846148416 31907045060 34807685520 37128197888 38288454072 46410247360 47860567590 51051272096 55692296832 63814090120 69615371040 74256395776 76576908144 92820494720 95721135180 102102544192 111384593664 127628180240 139230742080 153153816288 185640989440 191442270360 204205088384 222769187328 255256360480 278461484160 306307632576 371281978880 382884540720 408410176768 510512720960 556922968320 612615265152 765769081440 816820353536 1021025441920 1113845936640 1225230530304 1531538162880 2042050883840 2450461060608 3063076325760 4084101767680 6126152651520 12252305303040