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11212220012240 = 2451349128197789
BaseRepresentation
bin1010001100101000110001…
…1001000001011011010000
31110200212200220001022012202
42203022030121001123100
52432200111310342430
635502453414542332
72235025156421222
oct243121431013320
943625626038182
1011212220012240
113633091993185
1213110059679a8
1363440034abb0
142aa962586412
151469c785cd45
hexa328c6416d0

11212220012240 has 160 divisors (see below), whose sum is σ = 28144442390400. Its totient is φ = 4129469245440.

The previous prime is 11212220012239. The next prime is 11212220012261. The reversal of 11212220012240 is 4221002221211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1439490266 + ... + 1439498054.

It is an arithmetic number, because the mean of its divisors is an integer number (175902764940).

Almost surely, 211212220012240 is an apocalyptic number.

11212220012240 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 11212220012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14072221195200).

11212220012240 is an abundant number, since it is smaller than the sum of its proper divisors (16932222378160).

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

11212220012240 is a wasteful number, since it uses less digits than its factorization.

11212220012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125 (or 11119 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11212220012240 its reverse (4221002221211), we get a palindrome (15433222233451).

The spelling of 11212220012240 in words is "eleven trillion, two hundred twelve billion, two hundred twenty million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 491 520 982 1040 1964 2455 2819 3928 4910 5638 6383 7789 7856 9820 11276 12766 14095 15578 19640 22552 25532 28190 31156 31915 36647 38945 39280 45104 51064 56380 62312 63830 73294 77890 101257 102128 112760 124624 127660 146588 155780 183235 202514 225520 255320 293176 311560 366470 405028 506285 510640 586352 623120 732940 810056 1012570 1384129 1465880 1620112 2025140 2768258 2931760 3824399 4050280 5536516 6920645 7648798 8100560 11073032 13841290 15297596 17993677 19121995 21957191 22146064 27682580 30595192 35987354 38243990 43914382 49717187 55365160 61190384 71974708 76487980 87828764 89968385 99434374 109785955 110730320 143949416 152975960 175657528 179936770 198868748 219571910 248585935 285443483 287898832 305951920 351315056 359873540 397737496 439143820 497171870 570886966 719747080 795474992 878287640 994343740 1141773932 1427217415 1439494160 1756575280 1988687480 2283547864 2854434830 3977374960 4567095728 5708869660 10780980781 11417739320 21561961562 22835478640 43123923124 53904903905 86247846248 107809807810 140152750153 172495692496 215619615620 280305500306 431239231240 560611000612 700763750765 862478462480 1121222001224 1401527501530 2242444002448 2803055003060 5606110006120 11212220012240