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12123120121230 = 2352919319721291
BaseRepresentation
bin1011000001101010001001…
…0001001011010110001110
31120220221220002022021222110
42300122202101023112032
53042111122222334410
641441141241324450
72360603134535166
oct260324221132616
946827802267873
1012123120121230
113954428294208
121439660496726
1369c289128621
142dca954795a6
1516053bc96720
hexb06a244b58e

12123120121230 has 64 divisors (see below), whose sum is σ = 30100380710400. Its totient is φ = 3121189169280.

The previous prime is 12123120121219. The next prime is 12123120121237. The reversal of 12123120121230 is 3212102132121.

It is a junction number, because it is equal to n+sod(n) for n = 12123120121197 and 12123120121206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123120121237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16446885 + ... + 17168175.

It is an arithmetic number, because the mean of its divisors is an integer number (470318448600).

Almost surely, 212123120121230 is an apocalyptic number.

12123120121230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12123120121230 is an abundant number, since it is smaller than the sum of its proper divisors (17977260589170).

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

12123120121230 is a wasteful number, since it uses less digits than its factorization.

12123120121230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740649.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12123120121230 its reverse (3212102132121), we get a palindrome (15335222253351).

The spelling of 12123120121230 in words is "twelve trillion, one hundred twenty-three billion, one hundred twenty million, one hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 19319 38638 57957 96595 115914 193190 289785 560251 579570 721291 1120502 1442582 1680753 2163873 2801255 3361506 3606455 4327746 5602510 7212910 8403765 10819365 16807530 20917439 21638730 41834878 62752317 104587195 125504634 209174390 313761585 627523170 13934620829 27869241658 41803862487 69673104145 83607724974 139346208290 209019312435 404104004041 418038624870 808208008082 1212312012123 2020520020205 2424624024246 4041040040410 6061560060615 12123120121230