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12002220002020 = 22519241213718973
BaseRepresentation
bin1010111010100111110000…
…0011110100101011100100
31120111101211100101220001111
42232221330003310223210
53033121021310031040
641305424352234404
72346063125506423
oct256517403645344
946441740356044
1012002220002020
113908127326216
12141a13b23ba04
13690a5c605551
142d6ca67852ba
1515c312c8ddea
hexaea7c0f4ae4

12002220002020 has 144 divisors (see below), whose sum is σ = 27264036442608. Its totient is φ = 4434967572480.

The previous prime is 12002220001951. The next prime is 12002220002029. The reversal of 12002220002020 is 2020002220021.

It can be written as a sum of positive squares in 8 ways, for example, as 5130523984356 + 6871696017664 = 2265066^2 + 2621392^2 .

It is not an unprimeable number, because it can be changed into a prime (12002220002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632585254 + ... + 632604226.

It is an arithmetic number, because the mean of its divisors is an integer number (189333586407).

Almost surely, 212002220002020 is an apocalyptic number.

12002220002020 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 12002220002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632018221304).

12002220002020 is an abundant number, since it is smaller than the sum of its proper divisors (15261816440588).

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

12002220002020 is a wasteful number, since it uses less digits than its factorization.

12002220002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21198 (or 21177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 12002220002020 its reverse (2020002220021), we get a palindrome (14022222222041).

The spelling of 12002220002020 in words is "twelve trillion, two billion, two hundred twenty million, two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 361 380 410 722 779 820 1444 1558 1805 2137 3116 3610 3895 4274 7220 7790 8548 10685 14801 15580 18973 21370 29602 37946 40603 42740 59204 74005 75892 81206 87617 94865 148010 162412 175234 189730 203015 296020 350468 360487 379460 406030 438085 720974 771457 777893 812060 876170 1441948 1542914 1555786 1664723 1752340 1802435 3085828 3111572 3329446 3604870 3857285 3889465 6658892 6849253 7209740 7714570 7778930 8323615 13698506 14779967 15429140 15557860 16647230 27397012 29559934 31629737 33294460 34246265 40545301 59119868 63259474 68492530 73899835 81090602 126518948 136985060 147799670 158148685 162181204 202726505 280819373 295599340 316297370 405453010 561638746 632594740 770360719 810906020 1123277492 1404096865 1540721438 1662357341 2808193730 3081442876 3324714682 3851803595 5616387460 6649429364 7703607190 8311786705 14636853661 15407214380 16623573410 29273707322 31584789479 33247146820 58547414644 63169578958 73184268305 126339157916 146368536610 157923947395 292737073220 315847894790 600111000101 631695789580 1200222000202 2400444000404 3000555000505 6001110001010 12002220002020