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12123310320342 = 2341359260937397
BaseRepresentation
bin1011000001101010110110…
…0110101110101011010110
31120220222101100012102010000
42300122231212232223112
53042112014420222332
641441212154112130
72360610634312434
oct260325546565326
946828340172100
1012123310320342
113954515692661
1214396b411b646
1369c2b9660890
142dcab2829d54
1516054d816b7c
hexb06ad9aead6

12123310320342 has 160 divisors (see below), whose sum is σ = 29762869197600. Its totient is φ = 3665521216512.

The previous prime is 12123310320301. The next prime is 12123310320343. The reversal of 12123310320342 is 24302301332121.

12123310320342 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 310 + 3 + 2 + 0 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123310320343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 324159988 + ... + 324197384.

It is an arithmetic number, because the mean of its divisors is an integer number (186017932485).

Almost surely, 212123310320342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123310320342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881434598800).

12123310320342 is an abundant number, since it is smaller than the sum of its proper divisors (17639558877258).

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

12123310320342 is a wasteful number, since it uses less digits than its factorization.

12123310320342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40092 (or 40083 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12123310320342 its reverse (24302301332121), we get a palindrome (36425611652463).

The spelling of 12123310320342 in words is "twelve trillion, one hundred twenty-three billion, three hundred ten million, three hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 81 117 118 162 177 234 351 354 531 702 767 1053 1062 1534 1593 2106 2301 2609 3186 4602 4779 5218 6903 7827 9558 13806 15654 20709 23481 33917 37397 41418 46962 62127 67834 70443 74794 101751 112191 124254 140886 153931 203502 211329 224382 305253 307862 336573 422658 461793 486161 610506 673146 915759 923586 972322 1009719 1385379 1458483 1831518 2001103 2019438 2206423 2747277 2770758 2916966 3029157 4002206 4156137 4375449 4412846 5494554 6003309 6058314 6619269 8312274 8750898 12006618 12468411 13126347 13238538 18009927 19857807 24936822 26252694 28683499 36019854 39379041 39715614 54029781 57366998 59573421 78758082 86050497 97568773 108059562 119146842 162089343 172100994 178720263 195137546 258151491 292706319 324178686 357440526 516302982 585412638 774454473 878118957 1268394049 1548908946 1756237914 2323363419 2536788098 2634356871 3805182147 4646726838 5268713742 5756557607 7610364294 7903070613 11415546441 11513115214 15806141226 17269672821 22831092882 34246639323 34539345642 51809018463 68493278646 74835248891 102739917969 103618036926 149670497782 155427055389 205479835938 224505746673 310854110778 449011493346 466281166167 673517240019 932562332334 1347034480038 2020551720057 4041103440114 6061655160171 12123310320342