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122100012255 = 351323832411361
BaseRepresentation
bin111000110110110111…
…0100101010011011111
3102200011100201021202010
41301231232211103133
54000030100343010
6132031511002303
711551515660054
oct1615556452337
9380140637663
10122100012255
1147867301441
121b7b7069393
13b68b2aa980
145ca41d702b
153299521620
hex1c6dba54df

122100012255 has 128 divisors (see below), whose sum is σ = 223265839104. Its totient is φ = 56527257600.

The previous prime is 122100012217. The next prime is 122100012269. The reversal of 122100012255 is 552210001221.

It is not a de Polignac number, because 122100012255 - 26 = 122100012191 is a prime.

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 127 ways as a sum of consecutive naturals, for example, 89712775 + ... + 89714135.

It is an arithmetic number, because the mean of its divisors is an integer number (1744264368).

Almost surely, 2122100012255 is an apocalyptic number.

122100012255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122100012255 is a deficient number, since it is larger than the sum of its proper divisors (101165826849).

122100012255 is a wasteful number, since it uses less digits than its factorization.

122100012255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729.

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 122100012255 its reverse (552210001221), we get a palindrome (674310013476).

The spelling of 122100012255 in words is "one hundred twenty-two billion, one hundred million, twelve thousand, two hundred fifty-five".

Divisors: 1 3 5 13 15 23 39 65 69 83 115 195 241 249 299 345 415 723 897 1079 1205 1245 1361 1495 1909 3133 3237 3615 4083 4485 5395 5543 5727 6805 9399 9545 15665 16185 16629 17693 20003 20415 24817 27715 28635 31303 46995 53079 60009 72059 74451 83145 88465 93909 100015 112963 124085 156515 216177 260039 265395 300045 328001 338889 360295 372255 406939 460069 469545 564815 780117 984003 1080885 1220817 1300195 1380207 1468519 1640005 1694445 2034695 2300345 2598149 3900585 4264013 4405557 4920015 5980897 6104085 6901035 7342595 7544023 7794447 12792039 12990745 17942691 21320065 22027785 22632069 27224083 29904485 33775937 37720115 38972235 63960195 81672249 89713455 98072299 101327811 113160345 136120415 168879685 294216897 353913079 408361245 490361495 506639055 626153909 1061739237 1471084485 1769565395 1878461727 3130769545 5308696185 8140000817 9392308635 24420002451 40700004085 122100012255