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121220099999999 = 711131739764727733
BaseRepresentation
bin11011100011111111000001…
…000000000000100011111111
3120220012112021012011221101022
4123203333001000000203333
5111342032231044444444
61105451424542134355
734350602040106250
oct3343770100004377
9526175235157338
10121220099999999
1135696179280850
12117193262813bb
135284011032ab0
1421d1126c70b27
15e0332dc619ee
hex6e3fc10008ff

121220099999999 has 128 divisors (see below), whose sum is σ = 173038349094912. Its totient is φ = 81726212874240.

The previous prime is 121220099999939. The next prime is 121220100000031. The reversal of 121220099999999 is 999999990022121.

It is a Cunningham number, because it is equal to 110100002-1.

It is not a de Polignac number, because 121220099999999 - 224 = 121220083222783 is a prime.

121220099999999 is a modest number, since divided by 99999999 gives 1212200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220099999939) by changing a digit.

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, 4370955737 + ... + 4370983469.

It is an arithmetic number, because the mean of its divisors is an integer number (1351862102304).

Almost surely, 2121220099999999 is an apocalyptic number.

121220099999999 is a deficient number, since it is larger than the sum of its proper divisors (51818249094913).

121220099999999 is a wasteful number, since it uses less digits than its factorization.

121220099999999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28825.

The product of its (nonzero) digits is 344373768, while the sum is 80.

The spelling of 121220099999999 in words is "one hundred twenty-one trillion, two hundred twenty billion, ninety-nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 397 647 1001 1309 1547 2431 2779 4367 4529 5161 6749 7117 8411 10999 17017 27733 30569 36127 47243 49819 56771 58877 74239 76993 87737 92521 120989 142987 194131 256859 305063 360529 397397 471461 519673 614159 647647 846923 965107 1000909 1572857 1798013 2135441 2523703 2825449 3300227 3339167 3965819 4366603 5186071 6128993 6755749 11009999 11010001 17943251 19778143 23374169 27760733 30566221 36302497 36730837 42902951 48032633 56765839 67418923 77070007 121110011 125602757 143130013 187170017 197375761 233262263 257115859 305035267 336228431 397360873 471932461 624424229 847770077 1001910091 1310190119 1381630327 1574430143 1632835841 2058870187 2135246869 2433210221 2565884893 3355387937 3965458471 4370969603 7123470647 11021011001 14412091309 17032471547 17961194251 23487715559 26765312431 27758209297 43620043181 49864294529 78358177117 92605118411 121099000999 187357187017 305340302267 548507239819 648235828877 847693006993 1018656302521 1332089010989 1574287012987 7130594117647 9324623076923 11020009090909 17317157142857 121220099999999