Search a number
-
+
121221110021211 = 321931101972123291
BaseRepresentation
bin11011100011111111111101…
…001100111011110001011011
3120220012121212120201100000100
4123203333331030323301123
5111342041313131134321
61105452113102310443
734350636053125434
oct3343777514736133
9526177776640010
10121221110021211
1135696647419722
1211719568588423
13528414236b395
1421d11c106a48b
15e0338c772326
hex6e3ffd33bc5b

121221110021211 has 96 divisors (see below), whose sum is σ = 192170135439360. Its totient is φ = 73346731200000.

The previous prime is 121221110021111. The next prime is 121221110021213. The reversal of 121221110021211 is 112120011122121.

It is a happy number.

121221110021211 is a `hidden beast` number, since 1 + 212 + 211 + 10 + 0 + 21 + 211 = 666.

It is not a de Polignac number, because 121221110021211 - 218 = 121221109759067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121221110021213) 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, 5204621476 + ... + 5204644766.

It is an arithmetic number, because the mean of its divisors is an integer number (2001772244160).

Almost surely, 2121221110021211 is an apocalyptic number.

121221110021211 is a deficient number, since it is larger than the sum of its proper divisors (70949025418149).

121221110021211 is a wasteful number, since it uses less digits than its factorization.

121221110021211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33169 (or 33166 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121221110021211 its reverse (112120011122121), we get a palindrome (233341121143332).

The spelling of 121221110021211 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred ten million, twenty-one thousand, two hundred eleven".

Divisors: 1 3 9 19 31 57 93 101 171 279 303 589 909 1767 1919 3131 5301 5757 9393 9721 17271 23291 28179 29163 59489 69873 87489 178467 184699 209619 301351 442529 535401 554097 722021 904053 981821 1327587 1662291 2166063 2352391 2712159 2945463 3982761 5725669 6498189 7057173 8836389 13718399 17177007 18654599 21171519 30436451 41155197 44695429 51531021 55963797 72924121 91309353 123465591 134086287 167891391 218772363 226411811 273928059 402258861 578292569 656317089 679235433 1385558299 1734877707 2037706299 4156674897 4301824409 5204633121 7018766141 12470024691 12905473227 21056298423 22867592911 38716419681 63168895269 68602778733 133356556679 205808336199 400069670037 434484265309 708895380241 1200209010111 1303452795927 2126686140723 3910358387781 6380058422169 13469012224579 40407036673737 121221110021211