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12122110112001 = 353383974320431
BaseRepresentation
bin1011000001100110011000…
…0100010011000100000001
31120220212021200210111210020
42300121212010103010001
53042102040142041001
641440453121324053
72360536121565651
oct260314604230401
946825250714706
1012122110112001
113953a5a15433a
12143941a196629
1369c157ac5626
142dc9db284361
151604cd289736
hexb0666113101

12122110112001 has 32 divisors (see below), whose sum is σ = 16513271857152. Its totient is φ = 7907026495680.

The previous prime is 12122110111939. The next prime is 12122110112237. The reversal of 12122110112001 is 10021101122121.

It is a happy number.

It is not a de Polignac number, because 12122110112001 - 27 = 12122110111873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122110117001) 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, 593309256 + ... + 593329686.

It is an arithmetic number, because the mean of its divisors is an integer number (516039745536).

Almost surely, 212122110112001 is an apocalyptic number.

It is an amenable number.

12122110112001 is a deficient number, since it is larger than the sum of its proper divisors (4391161745151).

12122110112001 is a wasteful number, since it uses less digits than its factorization.

12122110112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30613.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12122110112001 its reverse (10021101122121), we get a palindrome (22143211234122).

The spelling of 12122110112001 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, one hundred twelve thousand, one".

Divisors: 1 3 53 159 383 1149 9743 20299 20431 29229 60897 61293 516379 1082843 1549137 3248529 3731569 7825073 11194707 23475219 197773157 199059233 414728869 593319471 597177699 1244186607 10550139349 31650418047 76239686239 228719058717 4040703370667 12122110112001