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12332123210105 = 54728811267349
BaseRepresentation
bin1011001101110100101111…
…0100101100000101111001
31121122221100212111021121222
42303131023310230011321
53104022142020210410
642121144343041425
72411652336506546
oct263351364540571
947587325437558
1012332123210105
113a2502a066326
12147206b140275
136b5bb6739a0a
14308c41137bcd
15165bc0807955
hexb374bd2c179

12332123210105 has 24 divisors (see below), whose sum is σ = 15137284163400. Its totient is φ = 9644822443520.

The previous prime is 12332123210047. The next prime is 12332123210111. The reversal of 12332123210105 is 50101232123321.

It can be written as a sum of positive squares in 4 ways, for example, as 343611681856 + 11988511528249 = 586184^2 + 3462443^2 .

It is not a de Polignac number, because 12332123210105 - 26 = 12332123210041 is a prime.

It is a super-2 number, since 2×123321232101052 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9096971 + ... + 10364319.

It is an arithmetic number, because the mean of its divisors is an integer number (630720173475).

Almost surely, 212332123210105 is an apocalyptic number.

It is an amenable number.

12332123210105 is a deficient number, since it is larger than the sum of its proper divisors (2805160953295).

12332123210105 is an equidigital number, since it uses as much as digits as its factorization.

12332123210105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268329 (or 1268282 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 12332123210105 its reverse (50101232123321), we get a palindrome (62433355333426).

The spelling of 12332123210105 in words is "twelve trillion, three hundred thirty-two billion, one hundred twenty-three million, two hundred ten thousand, one hundred five".

Divisors: 1 5 47 235 881 2209 4405 11045 41407 207035 1267349 1946129 6336745 9730645 59565403 297827015 1116534469 2799573941 5582672345 13997869705 52477120043 262385600215 2466424642021 12332123210105