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12123321022121 = 17245791792577
BaseRepresentation
bin1011000001101010111000…
…1111100011011010101001
31120220222102002100010012012
42300122232033203122221
53042112030140201441
641441213215325305
72360611124264111
oct260325617433251
946828362303165
1012123321022121
113954520732001
1214396b7820835
1369c2bb9399aa
142dcab4014041
1516054e72c9eb
hexb06ae3e36a9

12123321022121 has 12 divisors (see below), whose sum is σ = 12906587222268. Its totient is φ = 11385216786432.

The previous prime is 12123321022103. The next prime is 12123321022129. The reversal of 12123321022121 is 12122012332121.

It can be written as a sum of positive squares in 6 ways, for example, as 2155024000000 + 9968297022121 = 1468000^2 + 3157261^2 .

It is not a de Polignac number, because 12123321022121 - 226 = 12123253913257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12123321022129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45764216 + ... + 46028361.

It is an arithmetic number, because the mean of its divisors is an integer number (1075548935189).

Almost surely, 212123321022121 is an apocalyptic number.

It is an amenable number.

12123321022121 is a deficient number, since it is larger than the sum of its proper divisors (783266200147).

12123321022121 is an equidigital number, since it uses as much as digits as its factorization.

12123321022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91793068 (or 91793051 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 12123321022121 its reverse (12122012332121), we get a palindrome (24245333354242).

The spelling of 12123321022121 in words is "twelve trillion, one hundred twenty-three billion, three hundred twenty-one million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 17 289 457 7769 132073 91792577 1560473809 26528054753 41949207689 713136530713 12123321022121