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21222020122121 = 71341163271128767
BaseRepresentation
bin1001101001101001000101…
…11110001000011000001001
32210010210202001220201110202
410310310202332020120021
510240200144122401441
6113045132250221545
74320145304461460
oct464644276103011
983123661821422
1021222020122121
116842232113865
122468b777248b5
13bac2c69475b0
145352190839d7
1526c077d2719b
hex134d22f88609

21222020122121 has 64 divisors (see below), whose sum is σ = 27020166168576. Its totient is φ = 16220807539200.

The previous prime is 21222020122099. The next prime is 21222020122123. The reversal of 21222020122121 is 12122102022212.

It is a cyclic number.

It is not a de Polignac number, because 21222020122121 - 26 = 21222020122057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21222020122093 and 21222020122102.

It is not an unprimeable number, because it can be changed into a prime (21222020122123) 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 63 ways as a sum of consecutive naturals, for example, 164745080 + ... + 164873846.

It is an arithmetic number, because the mean of its divisors is an integer number (422190096384).

Almost surely, 221222020122121 is an apocalyptic number.

It is an amenable number.

21222020122121 is a deficient number, since it is larger than the sum of its proper divisors (5798146046455).

21222020122121 is a wasteful number, since it uses less digits than its factorization.

21222020122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129262.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21222020122121 its reverse (12122102022212), we get a palindrome (33344122144333).

The spelling of 21222020122121 in words is "twenty-one trillion, two hundred twenty-two billion, twenty million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 13 41 91 163 271 287 533 1141 1897 2119 3523 3731 6683 11111 14833 24661 44173 46781 77777 86879 128767 144443 309211 574249 608153 901369 1011101 1673971 1811093 4019743 5279447 11717797 12677651 20989021 23544209 34895857 36956129 68632811 146923147 164809463 244270999 272857273 453646141 480429677 860549861 1430730137 1910000911 3175522987 5688024691 6023849027 10015110959 11187148193 18599491781 39816172837 73944320983 78310037351 130196442467 233209012331 517610246881 1632463086317 3031717160303 21222020122121