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12121332203211 = 3711591327670217
BaseRepresentation
bin1011000001100011011110…
…1100110011111011001011
31120220210021111000122112120
42300120313230303323023
53042043442021000321
641440244012142323
72360510624511210
oct260306754637313
946823244018476
1012121332203211
1139536a0031a10
1214392417679a3
1369c0628a897a
142dc965c29b07
15160484d27ec6
hexb0637b33ecb

12121332203211 has 64 divisors (see below), whose sum is σ = 20506740572160. Its totient is φ = 6185396655360.

The previous prime is 12121332203179. The next prime is 12121332203251. The reversal of 12121332203211 is 11230223312121.

It is not a de Polignac number, because 12121332203211 - 25 = 12121332203179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12121332203251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17750575 + ... + 18420791.

It is an arithmetic number, because the mean of its divisors is an integer number (320417821440).

Almost surely, 212121332203211 is an apocalyptic number.

12121332203211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12121332203211 is a deficient number, since it is larger than the sum of its proper divisors (8385408368949).

12121332203211 is a wasteful number, since it uses less digits than its factorization.

12121332203211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671624.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12121332203211 its reverse (11230223312121), we get a palindrome (23351555515332).

The spelling of 12121332203211 in words is "twelve trillion, one hundred twenty-one billion, three hundred thirty-two million, two hundred three thousand, two hundred eleven".

Divisors: 1 3 7 11 21 33 59 77 177 231 413 649 1239 1327 1947 3981 4543 9289 13629 14597 27867 43791 78293 102179 234879 306537 548051 670217 861223 1644153 2010651 2583669 4691519 6028561 7372387 14074557 18085683 22117161 39542803 51606709 118628409 154820127 276799621 434970833 830398863 889377959 1304912499 2668133877 3044795831 6225645713 9134387493 9783157549 18676937139 29349472647 52473299581 68482102843 157419898743 205446308529 367313097067 577206295391 1101939291201 1731618886173 4040444067737 12121332203211