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12123102303123 = 3710982110316257
BaseRepresentation
bin1011000001101010000100…
…1101001101001110010011
31120220221211211210001010120
42300122201031031032103
53042111103142144443
641441135403401323
72360602530224310
oct260324115151623
946827754701116
1012123102303123
1139544192241a9
121439656523243
1369c28552a376
142dca92d5bd07
1516053a427083
hexb06a134d393

12123102303123 has 64 divisors (see below), whose sum is σ = 18686576240640. Its totient is φ = 6847827609600.

The previous prime is 12123102303097. The next prime is 12123102303149. The reversal of 12123102303123 is 32130320132121.

It is an interprime number because it is at equal distance from previous prime (12123102303097) and next prime (12123102303149).

It is not a de Polignac number, because 12123102303123 - 210 = 12123102302099 is a prime.

It is a super-3 number, since 3×121231023031233 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12123102303093 and 12123102303102.

It is not an unprimeable number, because it can be changed into a prime (12123102503123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1937523211 + ... + 1937529467.

It is an arithmetic number, because the mean of its divisors is an integer number (291977753760).

Almost surely, 212123102303123 is an apocalyptic number.

12123102303123 is a deficient number, since it is larger than the sum of its proper divisors (6563473937517).

12123102303123 is a wasteful number, since it uses less digits than its factorization.

12123102303123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8228.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12123102303123 its reverse (32130320132121), we get a palindrome (44253422435244).

The spelling of 12123102303123 in words is "twelve trillion, one hundred twenty-three billion, one hundred two million, three hundred three thousand, one hundred twenty-three".

Divisors: 1 3 7 21 109 327 763 821 1031 2289 2463 3093 5747 6257 7217 17241 18771 21651 43799 89489 112379 131397 268467 337137 626423 682013 786653 846451 1879269 2046039 2359959 2539353 4774091 5136997 5925157 6450967 14322273 15410991 17775471 19352901 35958979 45156769 92263159 107876937 135470307 276789477 559932673 645842113 703155403 1679798019 1937526339 2109466209 3919528711 4922087821 5296243907 11758586133 14766263463 15888731721 37073707349 111221122047 577290585863 1731871757589 4041034101041 12123102303123