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212222020012020 = 22355253117252897
BaseRepresentation
bin110000010000001111001010…
…000111011100011111110100
31000211102020010110112100200000
4300100033022013130133310
5210304021144110341040
62031205241114551300
762462351331312024
oct6020171207343764
91024366113470600
10212222020012020
1161690942753297
121b976071138530
1391555b2008635
143a59859d93a84
1519805ad6b7130
hexc103ca1dc7f4

212222020012020 has 144 divisors (see below), whose sum is σ = 667846155307968. Its totient is φ = 56570175636480.

The previous prime is 212222020012003. The next prime is 212222020012033. The reversal of 212222020012020 is 20210020222212.

212222020012020 is a `hidden beast` number, since 2 + 122 + 220 + 200 + 120 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212222020011984 and 212222020012002.

It is a congruent number.

It is an unprimeable number.

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, 3674212 + ... + 20927108.

It is an arithmetic number, because the mean of its divisors is an integer number (4637820522972).

Almost surely, 2212222020012020 is an apocalyptic number.

212222020012020 is a gapful number since it is divisible by the number (20) 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 212222020012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333923077653984).

212222020012020 is an abundant number, since it is smaller than the sum of its proper divisors (455624135295948).

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

212222020012020 is a wasteful number, since it uses less digits than its factorization.

212222020012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17255452 (or 17255438 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212222020012020 its reverse (20210020222212), we get a palindrome (232432040234232).

The spelling of 212222020012020 in words is "two hundred twelve trillion, two hundred twenty-two billion, twenty million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 2531 4860 5062 7593 10124 12655 15186 22779 25310 30372 37965 45558 50620 68337 75930 91116 113895 136674 151860 205011 227790 273348 341685 410022 455580 615033 683370 820044 1025055 1230066 1366740 2050110 2460132 3075165 4100220 6150330 12300660 17252897 34505794 51758691 69011588 86264485 103517382 155276073 172528970 207034764 258793455 310552146 345057940 465828219 517586910 621104292 776380365 931656438 1035173820 1397484657 1552760730 1863312876 2329141095 2794969314 3105521460 4192453971 4658282190 5589938628 6987423285 8384907942 9316564380 13974846570 16769815884 20962269855 27949693140 41924539710 43667082307 83849079420 87334164614 131001246921 174668329228 218335411535 262002493842 393003740763 436670823070 524004987684 655006234605 786007481526 873341646140 1179011222289 1310012469210 1572014963052 1965018703815 2358022444578 2620024938420 3537033666867 3930037407630 4716044889156 5895056111445 7074067333734 7860074815260 10611101000601 11790112222890 14148134667468 17685168334335 21222202001202 23580224445780 35370336668670 42444404002404 53055505003005 70740673337340 106111010006010 212222020012020