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12122110202121 = 334723774018717
BaseRepresentation
bin1011000001100110011000…
…0100101001000100001001
31120220212021200222002102000
42300121212010221010021
53042102040202431441
641440453123301213
72360536122422463
oct260314604510411
946825250862360
1012122110202121
113953a5a206017
12143941a21a809
1369c157b2765a
142dc9db2a9133
151604cd2a62b6
hexb0666129109

12122110202121 has 32 divisors (see below), whose sum is σ = 18348501895680. Its totient is φ = 7906132510848.

The previous prime is 12122110202107. The next prime is 12122110202129. The reversal of 12122110202121 is 12120201122121.

12122110202121 is a `hidden beast` number, since 121 + 221 + 1 + 0 + 202 + 121 = 666.

It is not a de Polignac number, because 12122110202121 - 211 = 12122110200073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122110202094 and 12122110202103.

It is not an unprimeable number, because it can be changed into a prime (12122110202129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007055 + ... + 5025771.

It is an arithmetic number, because the mean of its divisors is an integer number (573390684240).

Almost surely, 212122110202121 is an apocalyptic number.

It is an amenable number.

12122110202121 is a deficient number, since it is larger than the sum of its proper divisors (6226391693559).

12122110202121 is a wasteful number, since it uses less digits than its factorization.

12122110202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021150 (or 4021144 counting only the distinct ones).

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

Adding to 12122110202121 its reverse (12120201122121), we get a palindrome (24242311324242).

The spelling of 12122110202121 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 47 141 423 1269 2377 7131 21393 64179 111719 335157 1005471 3016413 4018717 12056151 36168453 108505359 188879699 566639097 1699917291 5099751873 9552490309 28657470927 85972412781 257917238343 448967044523 1346901133569 4040703400707 12122110202121