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12122121001221 = 3271117492238097
BaseRepresentation
bin1011000001100110011010…
…1101110101100100000101
31120220212022110021201222200
42300121212231311210011
53042102100434014341
641440454150545113
72360536313260650
oct260314655654405
946825273251880
1012122121001221
113953a653115a0
121439421968199
1369c15a138b5a
142dc9dc8ba897
151604ce1dadb6
hexb0666b75905

12122121001221 has 24 divisors (see below), whose sum is σ = 21830313146304. Its totient is φ = 6297205714560.

The previous prime is 12122121001219. The next prime is 12122121001247. The reversal of 12122121001221 is 12210012122121.

12122121001221 is a `hidden beast` number, since 1 + 212 + 21 + 210 + 0 + 1 + 221 = 666.

It is not a de Polignac number, because 12122121001221 - 21 = 12122121001219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122121001194 and 12122121001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122121001271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8746118356 + ... + 8746119741.

It is an arithmetic number, because the mean of its divisors is an integer number (909596381096).

Almost surely, 212122121001221 is an apocalyptic number.

12122121001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122121001221 is a deficient number, since it is larger than the sum of its proper divisors (9708192145083).

12122121001221 is a wasteful number, since it uses less digits than its factorization.

12122121001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17492238121 (or 17492238118 counting only the distinct ones).

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

Adding to 12122121001221 its reverse (12210012122121), we get a palindrome (24332133123342).

The spelling of 12122121001221 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 17492238097 52476714291 122445666679 157430142873 192414619067 367337000037 577243857201 1102011000111 1346902333469 1731731571603 4040707000407 12122121001221