Search a number
-
+
12251113324240 = 24571311319126611
BaseRepresentation
bin1011001001000110111101…
…0000011111111011010000
31121101012021011002200122211
42302101233100133323100
53101210240002333430
642020030032041504
72403054003031360
oct262215720377320
947335234080584
1012251113324240
1139a37390a402a
12145a421093294
136ab3763160cb
14304d581da9a0
15163a2d85372a
hexb246f41fed0

12251113324240 has 160 divisors (see below), whose sum is σ = 32826581821440. Its totient is φ = 4165124620800.

The previous prime is 12251113324237. The next prime is 12251113324259. The reversal of 12251113324240 is 4242331115221.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 96698535 + ... + 96825145.

It is an arithmetic number, because the mean of its divisors is an integer number (205166136384).

Almost surely, 212251113324240 is an apocalyptic number.

12251113324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12251113324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16413290910720).

12251113324240 is an abundant number, since it is smaller than the sum of its proper divisors (20575468497200).

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

12251113324240 is a wasteful number, since it uses less digits than its factorization.

12251113324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128081 (or 128075 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 12251113324240 its reverse (4242331115221), we get a palindrome (16493444439461).

The spelling of 12251113324240 in words is "twelve trillion, two hundred fifty-one billion, one hundred thirteen million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 524 560 655 917 1048 1310 1319 1834 2096 2620 2638 3668 4585 5240 5276 6595 7336 9170 9233 10480 10552 13190 14672 18340 18466 21104 26380 36680 36932 46165 52760 73360 73864 92330 105520 126611 147728 172789 184660 253222 345578 369320 506444 633055 691156 738640 863945 886277 1012888 1209523 1266110 1382312 1727890 1772554 2025776 2419046 2532220 2764624 3455780 3545108 4431385 4838092 5064440 6047615 6911560 7090216 8862770 9676184 10128880 12095230 13823120 14180432 16586041 17725540 19352368 24190460 33172082 35451080 48380920 66344164 70902160 82930205 96761840 116102287 132688328 165860410 166999909 232204574 265376656 331720820 333999818 464409148 580511435 663441640 667999636 834999545 928818296 1161022870 1168999363 1326883280 1335999272 1669999090 1857636592 2322045740 2337998726 2671998544 3339998180 4644091480 4675997452 5844996815 6679996360 9288182960 9351994904 11689993630 13359992720 18703989808 21876988079 23379987260 43753976158 46759974520 87507952316 93519949040 109384940395 153138916553 175015904632 218769880790 306277833106 350031809264 437539761580 612555666212 765694582765 875079523160 1225111332424 1531389165530 1750159046320 2450222664848 3062778331060 6125556662120 12251113324240