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12422144240 = 24511531132357
BaseRepresentation
bin10111001000110101…
…01110000011110000
31012001201110022101022
423210122232003300
5200420032103430
65412345355012
7616555324652
oct134432560360
935051408338
1012422144240
1152a4a81910
1224a8198a68
13122c75a50c
1485bb086d2
154ca85a4e5
hex2e46ae0f0

12422144240 has 160 divisors (see below), whose sum is σ = 32399372736. Its totient is φ = 4390830080.

The previous prime is 12422144219. The next prime is 12422144243. The reversal of 12422144240 is 4244122421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422144243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5269142 + ... + 5271498.

Almost surely, 212422144240 is an apocalyptic number.

12422144240 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 12422144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16199686368).

12422144240 is an abundant number, since it is smaller than the sum of its proper divisors (19977228496).

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

12422144240 is a wasteful number, since it uses less digits than its factorization.

12422144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 12422144240 its reverse (4244122421), we get a palindrome (16666266661).

The spelling of 12422144240 in words is "twelve billion, four hundred twenty-two million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 113 176 212 220 226 265 424 440 452 530 565 583 848 880 904 1060 1130 1166 1243 1808 2120 2260 2332 2357 2486 2915 4240 4520 4664 4714 4972 5830 5989 6215 9040 9328 9428 9944 11660 11785 11978 12430 18856 19888 23320 23570 23956 24860 25927 29945 37712 46640 47140 47912 49720 51854 59890 65879 94280 95824 99440 103708 119780 124921 129635 131758 188560 207416 239560 249842 259270 263516 266341 329395 414832 479120 499684 518540 527032 532682 624605 658790 999368 1037080 1054064 1065364 1249210 1317580 1331705 1374131 1998736 2074160 2130728 2498420 2635160 2663410 2748262 2929751 4261456 4996840 5270320 5326820 5496524 5859502 6870655 9993680 10653640 10993048 11719004 13741310 14116073 14648755 21307280 21986096 23438008 27482620 28232146 29297510 46876016 54965240 56464292 58595020 70580365 109930480 112928584 117190040 141160730 155276803 225857168 234380080 282321460 310553606 564642920 621107212 776384015 1129285840 1242214424 1552768030 2484428848 3105536060 6211072120 12422144240