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12122222101101 = 3278910122979319
BaseRepresentation
bin1011000001100110110010…
…1111100000001001101101
31120220212120111112010221200
42300121230233200021231
53042102302324213401
641440512201520113
72360541651513540
oct260315457401155
946825514463850
1012122222101101
113954007394412
12143944b7a3039
1369c175076178
142dca0c0b6857
151604d800b686
hexb066cbe026d

12122222101101 has 96 divisors (see below), whose sum is σ = 20447581939200. Its totient is φ = 6777659750400.

The previous prime is 12122222101081. The next prime is 12122222101103. The reversal of 12122222101101 is 10110122222121.

12122222101101 is a `hidden beast` number, since 121 + 2 + 222 + 210 + 110 + 1 = 666.

It is not a de Polignac number, because 12122222101101 - 214 = 12122222084717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122222101103) 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, 1300802520 + ... + 1300811838.

It is an arithmetic number, because the mean of its divisors is an integer number (212995645200).

Almost surely, 212122222101101 is an apocalyptic number.

It is an amenable number.

12122222101101 is a deficient number, since it is larger than the sum of its proper divisors (8325359838099).

12122222101101 is a wasteful number, since it uses less digits than its factorization.

12122222101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11819 (or 11816 counting only the distinct ones).

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

Adding to 12122222101101 its reverse (10110122222121), we get a palindrome (22232344323222).

The spelling of 12122222101101 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred one thousand, one hundred one".

Divisors: 1 3 7 9 21 63 89 101 267 303 623 707 801 909 1869 2121 2297 5607 6363 6891 8989 9319 16079 20673 26967 27957 48237 62923 65233 80901 83871 144711 188769 195699 204433 231997 566307 587097 613299 695991 829391 941219 1431031 1623979 1839897 2087973 2488173 2823657 4293093 4871937 5805737 6588533 7464519 8470971 12879279 14615811 17417211 19765599 20647733 21405743 52251633 59296797 61943199 64217229 83768491 144534131 149840201 185829597 192651687 251305473 433602393 449520603 586379437 753916419 1300807179 1348561809 1759138311 1905111127 2161980043 5277414933 5715333381 6485940129 13335777889 15133860301 17146000143 19457820387 40007333667 45401580903 120022001001 136204742709 192416223827 577248671481 1346913566789 1731746014443 4040740700367 12122222101101