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12520200240 = 243358237043
BaseRepresentation
bin10111010100100001…
…10001100000110000
31012022112222001221000
423222100301200300
5201120132401430
65430211202000
7622155642342
oct135220614060
935275861830
1012520200240
115345365829
122514ba6300
131246b70212
1486ab51292
154d4278e60
hex2ea431830

12520200240 has 160 divisors (see below), whose sum is σ = 43183664640. Its totient is φ = 3334189824.

The previous prime is 12520200227. The next prime is 12520200241. The reversal of 12520200240 is 4200202521.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12520200241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1774159 + ... + 1781201.

It is an arithmetic number, because the mean of its divisors is an integer number (269897904).

Almost surely, 212520200240 is an apocalyptic number.

12520200240 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 12520200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591832320).

12520200240 is an abundant number, since it is smaller than the sum of its proper divisors (30663464400).

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

12520200240 is a wasteful number, since it uses less digits than its factorization.

12520200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7888 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 12520200240 its reverse (4200202521), we get a palindrome (16720402761).

The spelling of 12520200240 in words is "twelve billion, five hundred twenty million, two hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 823 1080 1646 2160 2469 3292 4115 4938 6584 7043 7407 8230 9876 12345 13168 14086 14814 16460 19752 21129 22221 24690 28172 29628 32920 35215 37035 39504 42258 44442 49380 56344 59256 63387 65840 70430 74070 84516 88884 98760 105645 111105 112688 118512 126774 140860 148140 169032 177768 190161 197520 211290 222210 253548 281720 296280 316935 338064 355536 380322 422580 444420 507096 563440 592560 633870 760644 845160 888840 950805 1014192 1267740 1521288 1690320 1777680 1901610 2535480 3042576 3803220 5070960 5796389 7606440 11592778 15212880 17389167 23185556 28981945 34778334 46371112 52167501 57963890 69556668 86945835 92742224 104335002 115927780 139113336 156502503 173891670 208670004 231855560 260837505 278226672 313005006 347783340 417340008 463711120 521675010 626010012 695566680 782512515 834680016 1043350020 1252020024 1391133360 1565025030 2086700040 2504040048 3130050060 4173400080 6260100120 12520200240