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122210002022121 = 321353101607932099
BaseRepresentation
bin11011110010011000111011…
…110000100010111011101001
3121000201011101011110221100200
4123302120323300202323221
5112004242041004201441
61111530255550022413
734512244530342456
oct3362307360427351
9530634334427320
10122210002022121
1135a37a75151482
121185914a4a7a09
13532647a227ba0
142226dd212c82d
15e1de68c147b6
hex6f263bc22ee9

122210002022121 has 96 divisors (see below), whose sum is σ = 195647332608000. Its totient is φ = 73042311513600.

The previous prime is 122210002022071. The next prime is 122210002022123. The reversal of 122210002022121 is 121220200012221.

It is a happy number.

It is not a de Polignac number, because 122210002022121 - 26 = 122210002022057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122210002022094 and 122210002022103.

It is not an unprimeable number, because it can be changed into a prime (122210002022123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3807267730 + ... + 3807299828.

It is an arithmetic number, because the mean of its divisors is an integer number (2037993048000).

Almost surely, 2122210002022121 is an apocalyptic number.

It is an amenable number.

122210002022121 is a deficient number, since it is larger than the sum of its proper divisors (73437330585879).

122210002022121 is a wasteful number, since it uses less digits than its factorization.

122210002022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38351 (or 38348 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122210002022121 its reverse (121220200012221), we get a palindrome (243430202034342).

The spelling of 122210002022121 in words is "one hundred twenty-two trillion, two hundred ten billion, two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 53 101 117 159 303 477 689 909 1313 2067 3939 5353 6079 6201 11817 16059 18237 32099 48177 54711 69589 79027 96297 208767 237081 288891 322187 417287 613979 626301 711243 966561 1251861 1701247 1841937 2899683 3241999 3755583 4188431 5103741 5525811 7981727 9725997 12565293 15311223 22116211 23945181 29177991 32540887 37695879 42145987 66348633 71835543 97622661 126437961 171825947 195129821 199045899 292867983 379313883 423031531 515477841 585389463 1269094593 1546433523 1756168389 2233737311 2536687673 3807283779 6701211933 7610063019 10341880513 19708111921 20103635799 22830189057 31025641539 59124335763 93076924617 134444446669 177373007289 256205454973 403333340007 768616364919 1044529931813 1210000020021 2305849094757 3133589795439 9400769386317 13578889113569 40736667340707 122210002022121