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12024245000 = 235419472693
BaseRepresentation
bin10110011001011001…
…10110101100001000
31011000222201221020102
423030230312230020
5144111201320000
65305053144532
7603654252605
oct131454665410
934028657212
1012024245000
115110411269
1223b6a8b148
1311981a3191
14820d2d6ac
154a595e3d5
hex2ccb36b08

12024245000 has 160 divisors (see below), whose sum is σ = 30297801600. Its totient is φ = 4457952000.

The previous prime is 12024244997. The next prime is 12024245039. The reversal of 12024245000 is 54242021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4463654 + ... + 4466346.

It is an arithmetic number, because the mean of its divisors is an integer number (189361260).

Almost surely, 212024245000 is an apocalyptic number.

12024245000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12024245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148900800).

12024245000 is an abundant number, since it is smaller than the sum of its proper divisors (18273556600).

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

12024245000 is a wasteful number, since it uses less digits than its factorization.

12024245000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 12024245000 its reverse (54242021), we get a palindrome (12078487021).

The spelling of 12024245000 in words is "twelve billion, twenty-four million, two hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 47 50 76 94 95 100 125 152 188 190 200 235 250 376 380 470 475 500 625 760 893 940 950 1000 1175 1250 1786 1880 1900 2350 2375 2500 2693 3572 3800 4465 4700 4750 5000 5386 5875 7144 8930 9400 9500 10772 11750 11875 13465 17860 19000 21544 22325 23500 23750 26930 29375 35720 44650 47000 47500 51167 53860 58750 67325 89300 95000 102334 107720 111625 117500 126571 134650 178600 204668 223250 235000 253142 255835 269300 336625 409336 446500 506284 511670 538600 558125 632855 673250 893000 1012568 1023340 1116250 1265710 1279175 1346500 1683125 2046680 2232500 2404849 2531420 2558350 2693000 3164275 3366250 4465000 4809698 5062840 5116700 6328550 6395875 6732500 9619396 10233400 12024245 12657100 12791750 13465000 15821375 19238792 24048490 25314200 25583500 31642750 31979375 48096980 51167000 60121225 63285500 63958750 79106875 96193960 120242450 126571000 127917500 158213750 240484900 255835000 300606125 316427500 480969800 601212250 632855000 1202424500 1503030625 2404849000 3006061250 6012122500 12024245000