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12111202320 = 2435718139829
BaseRepresentation
bin10110100011110001…
…00100100000010000
31011021001100211020220
423101320210200100
5144300431433240
65321441033040
7606061343520
oct132170444020
934231324226
1012111202320
115155504618
122420025780
1311b01cb209
1482c6c7680
154ad3d95d0
hex2d1e24810

12111202320 has 160 divisors (see below), whose sum is σ = 43146405120. Its totient is φ = 2752911360.

The previous prime is 12111202289. The next prime is 12111202321. The reversal of 12111202320 is 2320211121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12111202320.

It is not an unprimeable number, because it can be changed into a prime (12111202321) 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, 284166 + ... + 323994.

It is an arithmetic number, because the mean of its divisors is an integer number (269665032).

Almost surely, 212111202320 is an apocalyptic number.

12111202320 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 12111202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21573202560).

12111202320 is an abundant number, since it is smaller than the sum of its proper divisors (31035202800).

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

12111202320 is a wasteful number, since it uses less digits than its factorization.

12111202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40033 (or 40027 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12111202320 its reverse (2320211121), we get a palindrome (14431413441).

The spelling of 12111202320 in words is "twelve billion, one hundred eleven million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 181 210 240 280 336 362 420 543 560 724 840 905 1086 1267 1448 1680 1810 2172 2534 2715 2896 3620 3801 4344 5068 5430 6335 7240 7602 8688 10136 10860 12670 14480 15204 19005 20272 21720 25340 30408 38010 39829 43440 50680 60816 76020 79658 101360 119487 152040 159316 199145 238974 278803 304080 318632 398290 477948 557606 597435 637264 796580 836409 955896 1115212 1194870 1394015 1593160 1672818 1911792 2230424 2389740 2788030 3186320 3345636 4182045 4460848 4779480 5576060 6691272 7209049 8364090 9558960 11152120 13382544 14418098 16728180 21627147 22304240 28836196 33456360 36045245 43254294 50463343 57672392 66912720 72090490 86508588 100926686 108135735 115344784 144180980 151390029 173017176 201853372 216271470 252316715 288361960 302780058 346034352 403706744 432542940 504633430 576723920 605560116 756950145 807413488 865085880 1009266860 1211120232 1513900290 1730171760 2018533720 2422240464 3027800580 4037067440 6055601160 12111202320