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1220200012020 = 2235112905918553
BaseRepresentation
bin10001110000011001100…
…101101001100011110100
311022122112211121001010210
4101300121211221203310
5124442432200341040
62332315132545420
7154104456654243
oct21603145514364
94278484531123
101220200012020
11430536107100
12178596622270
138b0ab552242
14430b51d695a
1521b182b4480
hex11c199698f4

1220200012020 has 144 divisors (see below), whose sum is σ = 3756009418560. Its totient is φ = 295757468160.

The previous prime is 1220200011983. The next prime is 1220200012021. The reversal of 1220200012020 is 202100020221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1220200011987 and 1220200012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220200012021) 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, 65759064 + ... + 65777616.

It is an arithmetic number, because the mean of its divisors is an integer number (26083398740).

Almost surely, 21220200012020 is an apocalyptic number.

1220200012020 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 1220200012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878004709280).

1220200012020 is an abundant number, since it is smaller than the sum of its proper divisors (2535809406540).

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

1220200012020 is a wasteful number, since it uses less digits than its factorization.

1220200012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27646 (or 27633 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1220200012020 its reverse (202100020221), we get a palindrome (1422300032241).

The spelling of 1220200012020 in words is "one trillion, two hundred twenty billion, two hundred million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 9059 18118 18553 27177 36236 37106 45295 54354 55659 74212 90590 92765 99649 108708 111318 135885 181180 185530 199298 204083 222636 271770 278295 298947 371060 398596 408166 498245 543540 556590 597894 612249 816332 996490 1020415 1096139 1113180 1195788 1224498 1494735 1992980 2040830 2192278 2244913 2448996 2989470 3061245 3288417 4081660 4384556 4489826 5480695 5978940 6122490 6576834 6734739 8979652 10961390 11224565 12244980 13153668 13469478 16442085 21922780 22449130 26938956 32884170 33673695 44898260 65768340 67347390 134694780 168071627 336143254 504214881 672286508 840358135 1008429762 1680716270 1848787897 2016859524 2521074405 3361432540 3697575794 5042148810 5546363691 7395151588 9243939485 10084297620 11092727382 18487878970 20336666867 22185454764 27731818455 36975757940 40673333734 55463636910 61010000601 81346667468 101683334335 110927273820 122020001202 203366668670 244040002404 305050003005 406733337340 610100006010 1220200012020