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20002201201220 = 22572171200612317
BaseRepresentation
bin1001000110001001000000…
…00110001110101001000100
32121211012011210102010001212
410203010200012032221010
510110204002001414340
6110312515005310552
74133053122643100
oct443044006165104
977735153363055
1020002201201220
1164119821380a7
1222b0688865458
13b21279346074
144d217c72c900
1524a48323da65
hex12312018ea44

20002201201220 has 72 divisors (see below), whose sum is σ = 51736786007256. Its totient is φ = 6454491810816.

The previous prime is 20002201201189. The next prime is 20002201201223. The reversal of 20002201201220 is 2210210220002.

It can be written as a sum of positive squares in 4 ways, for example, as 1890691000576 + 18111510200644 = 1375024^2 + 4255762^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20002201201195 and 20002201201204.

It is not an unprimeable number, because it can be changed into a prime (20002201201223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600289499 + ... + 600322818.

It is an arithmetic number, because the mean of its divisors is an integer number (718566472323).

Almost surely, 220002201201220 is an apocalyptic number.

20002201201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002201201220 is an abundant number, since it is smaller than the sum of its proper divisors (31734584806036).

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

20002201201220 is a wasteful number, since it uses less digits than its factorization.

20002201201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200612357 (or 1200612348 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20002201201220 its reverse (2210210220002), we get a palindrome (22212411421222).

The spelling of 20002201201220 in words is "twenty trillion, two billion, two hundred one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 1200612317 2401224634 4802449268 6003061585 8404286219 12006123170 16808572438 20410409389 24012246340 33617144876 40820818778 42021431095 58830003533 81641637556 84042862190 102052046945 117660007066 142872865723 168085724380 204104093890 235320014132 285745731446 294150017665 408208187780 571491462892 588300035330 714364328615 1000110060061 1176600070660 1428728657230 2000220120122 2857457314460 4000440240244 5000550300305 10001100600610 20002201201220