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12023112312321 = 3111946341416021
BaseRepresentation
bin1010111011110101100101…
…0101101010011000000001
31120120101202100222012220220
42232331121111222120001
53033441313222443241
641323201435053253
72350432634304165
oct256753125523001
946511670865826
1012023112312321
113915a78505170
1214221abba1229
13692a0bb13736
142d7cc9384ca5
1515cb37018166
hexaef5956a601

12023112312321 has 32 divisors (see below), whose sum is σ = 18448352839680. Its totient is φ = 6888312446400.

The previous prime is 12023112312319. The next prime is 12023112312329. The reversal of 12023112312321 is 12321321132021.

12023112312321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12023112312321 - 21 = 12023112312319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12023112312291 and 12023112312300.

It is not an unprimeable number, because it can be changed into a prime (12023112312329) 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, 20417710 + ... + 20998311.

It is an arithmetic number, because the mean of its divisors is an integer number (576511026240).

Almost surely, 212023112312321 is an apocalyptic number.

12023112312321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12023112312321 is a deficient number, since it is larger than the sum of its proper divisors (6425240527359).

12023112312321 is a wasteful number, since it uses less digits than its factorization.

12023112312321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41416517.

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

Adding to 12023112312321 its reverse (12321321132021), we get a palindrome (24344433444342).

The spelling of 12023112312321 in words is "twelve trillion, twenty-three billion, one hundred twelve million, three hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 11 19 33 57 209 463 627 1389 5093 8797 15279 26391 96767 290301 41416021 124248063 455576231 786904399 1366728693 2360713197 8655948389 19175617723 25967845167 57526853169 210931794953 364336736737 632795384859 1093010210211 4007704104107 12023112312321