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200121202001220 = 223523379573820517
BaseRepresentation
bin101101100000001001011001…
…001010000100010101000100
3222020120101210122120122202120
4231200021121022010111010
5202212241210203014340
61545342224441005540
760103164641321613
oct5540113112042504
9866511718518676
10200121202001220
1158845a1a420805
121a5409b57838b0
13878846b4bb576
14375bcbc85b87a
1518209298284d0
hexb60259284544

200121202001220 has 96 divisors (see below), whose sum is σ = 584717504087808. Its totient is φ = 51044049864192.

The previous prime is 200121202001209. The next prime is 200121202001233. The reversal of 200121202001220 is 22100202121002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200121202001220.

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 31 ways as a sum of consecutive naturals, for example, 50470402 + ... + 54290918.

It is an arithmetic number, because the mean of its divisors is an integer number (6090807334248).

Almost surely, 2200121202001220 is an apocalyptic number.

200121202001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200121202001220 is an abundant number, since it is smaller than the sum of its proper divisors (384596302086588).

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

200121202001220 is a wasteful number, since it uses less digits than its factorization.

200121202001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858509 (or 3858507 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200121202001220 its reverse (22100202121002), we get a palindrome (222221404122222).

The spelling of 200121202001220 in words is "two hundred trillion, one hundred twenty-one billion, two hundred two million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 37957 75914 113871 151828 189785 227742 379570 455484 569355 759140 873011 1138710 1746022 2277420 2619033 3492044 3820517 4365055 5238066 7641034 8730110 10476132 11461551 13095165 15282068 17460220 19102585 22923102 26190330 38205170 45846204 52380660 57307755 76410340 87871891 114615510 175743782 229231020 263615673 351487564 439359455 527231346 878718910 1054462692 1318078365 1757437820 2636156730 5272313460 145015363769 290030727538 435046091307 580061455076 725076818845 870092182614 1450153637690 1740184365228 2175230456535 2900307275380 3335353366687 4350460913070 6670706733374 8700921826140 10006060100061 13341413466748 16676766833435 20012120200122 33353533666870 40024240400244 50030300500305 66707067333740 100060601000610 200121202001220