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12121021222011 = 32131931538132687
BaseRepresentation
bin1011000001100010010100…
…1010100000110001111011
31120220202110210212011112100
42300120211022200301323
53042042322413101021
641440153102514443
72360500130304402
oct260304512406173
946822423764470
1012121021222011
113953550538159
121439175595a23
1369c013334820
142dc9367d8639
1516046789a626
hexb06252a0c7b

12121021222011 has 96 divisors (see below), whose sum is σ = 20491955527680. Its totient is φ = 6837074438400.

The previous prime is 12121021221929. The next prime is 12121021222027. The reversal of 12121021222011 is 11022212012121.

12121021222011 is a `hidden beast` number, since 1 + 21 + 210 + 212 + 220 + 1 + 1 = 666.

It is not a de Polignac number, because 12121021222011 - 221 = 12121019124859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12121021222061) 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 95 ways as a sum of consecutive naturals, for example, 370804510 + ... + 370837196.

It is an arithmetic number, because the mean of its divisors is an integer number (213457870080).

Almost surely, 212121021222011 is an apocalyptic number.

12121021222011 is a deficient number, since it is larger than the sum of its proper divisors (8370934305669).

12121021222011 is a wasteful number, since it uses less digits than its factorization.

12121021222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38137 (or 38134 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12121021222011 its reverse (11022212012121), we get a palindrome (23143233234132).

The spelling of 12121021222011 in words is "twelve trillion, one hundred twenty-one billion, twenty-one million, two hundred twenty-two thousand, eleven".

Divisors: 1 3 9 13 19 31 39 57 93 117 171 247 279 403 589 741 1209 1767 2223 3627 5301 5381 7657 16143 22971 32687 48429 68913 69953 98061 102239 166811 209859 294183 306717 424931 500433 621053 629577 920151 1013297 1274793 1329107 1501299 1863159 2168543 3039891 3169409 3824379 3987321 5589477 6505629 8073689 9119673 9508227 11961963 13172861 19252643 19516887 24221067 28524681 39518583 41202317 57757929 72663201 118555749 123606951 173273787 175888747 250284359 370820853 527666241 750853077 1582998723 2252559231 2286553711 3341886193 5452551157 6859661133 10025658579 16357653471 20578983399 30076975737 43444520509 49072960413 70883165041 103598471983 130333561527 212649495123 310795415949 391000684581 637948485369 932386247847 1346780135779 4040340407337 12121021222011