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12123020121212 = 22711133027727303
BaseRepresentation
bin1011000001101001110001…
…0011101101010001111100
31120220221122010010202202002
42300122130103231101330
53042110421122334322
641441123310121432
72360600511543020
oct260323423552174
946827563122662
1012123020121212
1139543868a2770
121439632ab0278
1369c2714b4b10
142dca86088380
151605330e1c92
hexb069c4ed47c

12123020121212 has 48 divisors (see below), whose sum is σ = 28484858476032. Its totient is φ = 4359927314880.

The previous prime is 12123020121193. The next prime is 12123020121217. The reversal of 12123020121212 is 21212102032121.

12123020121212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121230201212122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123020121217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513859648 + ... + 1513867655.

It is an arithmetic number, because the mean of its divisors is an integer number (593434551584).

Almost surely, 212123020121212 is an apocalyptic number.

It is an amenable number.

12123020121212 is an abundant number, since it is smaller than the sum of its proper divisors (16361838354820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12123020121212 is a wasteful number, since it uses less digits than its factorization.

12123020121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027727338 (or 3027727336 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12123020121212 its reverse (21212102032121), we get a palindrome (33335122153333).

The spelling of 12123020121212 in words is "twelve trillion, one hundred twenty-three billion, twenty million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 3027727303 6055454606 12110909212 21194091121 33305000333 39360454939 42388182242 66610000666 78720909878 84776364484 133220001332 157441819756 233135002331 275523184573 432965004329 466270004662 551046369146 865930008658 932540009324 1102092738292 1731860017316 3030755030303 6061510060606 12123020121212