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12320042240 = 285111994397
BaseRepresentation
bin10110111100101010…
…01110110100000000
31011210121022222202202
423132111032310000
5200212412322430
65354301132332
7614205426332
oct133625166400
934717288682
1012320042240
1152523850a0
122479b5a0a8
13121455c02c
1484c32b452
154c18dcd45
hex2de54ed00

12320042240 has 144 divisors (see below), whose sum is σ = 32362243200. Its totient is φ = 4456488960.

The previous prime is 12320042233. The next prime is 12320042243. The reversal of 12320042240 is 4224002321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320042243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2799722 + ... + 2804118.

It is an arithmetic number, because the mean of its divisors is an integer number (224737800).

Almost surely, 212320042240 is an apocalyptic number.

12320042240 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 12320042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16181121600).

12320042240 is an abundant number, since it is smaller than the sum of its proper divisors (20042200960).

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

12320042240 is a wasteful number, since it uses less digits than its factorization.

12320042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4628 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12320042240 its reverse (4224002321), we get a palindrome (16544044561).

The spelling of 12320042240 in words is "twelve billion, three hundred twenty million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 199 220 256 320 352 398 440 640 704 796 880 995 1280 1408 1592 1760 1990 2189 2816 3184 3520 3980 4378 4397 6368 7040 7960 8756 8794 10945 12736 14080 15920 17512 17588 21890 21985 25472 31840 35024 35176 43780 43970 48367 50944 63680 70048 70352 87560 87940 96734 127360 140096 140704 175120 175880 193468 241835 254720 280192 281408 350240 351760 386936 483670 560384 562816 700480 703520 773872 875003 967340 1125632 1400960 1407040 1547744 1750006 1934680 2801920 2814080 3095488 3500012 3869360 4375015 5628160 6190976 7000024 7738720 8750030 9625033 12381952 14000048 15477440 17500060 19250066 28000096 30954880 35000120 38500132 48125165 56000192 61909760 70000240 77000264 96250330 112000384 140000480 154000528 192500660 224000768 280000960 308001056 385001320 560001920 616002112 770002640 1120003840 1232004224 1540005280 2464008448 3080010560 6160021120 12320042240