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12110011120 = 2453179113547
BaseRepresentation
bin10110100011101000…
…00001101011110000
31011020222010022020101
423101310001223300
5144300130323440
65321355322144
7606045252604
oct132164015360
934228108211
1012110011120
115154870659
12241b750354
1311acba1c6c
1482c497504
154ad25169a
hex2d1d01af0

12110011120 has 160 divisors (see below), whose sum is σ = 29746667520. Its totient is φ = 4579061760.

The previous prime is 12110011097. The next prime is 12110011157. The reversal of 12110011120 is 2111001121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12110011097 and 12110011106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22138687 + ... + 22139233.

It is an arithmetic number, because the mean of its divisors is an integer number (185916672).

Almost surely, 212110011120 is an apocalyptic number.

12110011120 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 12110011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873333760).

12110011120 is an abundant number, since it is smaller than the sum of its proper divisors (17636656400).

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

12110011120 is a wasteful number, since it uses less digits than its factorization.

12110011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12110011120 its reverse (2111001121), we get a palindrome (14221012241).

Subtracting from 12110011120 its reverse (2111001121), we obtain a palindrome (9999009999).

It can be divided in two parts, 1211001 and 1120, that added together give a palindrome (1212121).

The spelling of 12110011120 in words is "twelve billion, one hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 79 80 113 124 155 158 226 248 310 316 395 452 496 547 565 620 632 790 904 1094 1130 1240 1264 1580 1808 2188 2260 2449 2480 2735 3160 3503 4376 4520 4898 5470 6320 7006 8752 8927 9040 9796 10940 12245 14012 16957 17515 17854 19592 21880 24490 28024 33914 35030 35708 39184 43213 43760 44635 48980 56048 61811 67828 70060 71416 84785 86426 89270 97960 123622 135656 140120 142832 169570 172852 178540 195920 216065 247244 271312 276737 280240 309055 339140 345704 357080 432130 494488 553474 618110 678280 691408 714160 864260 988976 1106948 1236220 1339603 1356560 1383685 1728520 1916141 2213896 2472440 2679206 2767370 3457040 3832282 4427792 4883069 4944880 5358412 5534740 6698015 7664564 9580705 9766138 10716824 11069480 13396030 15329128 19161410 19532276 21433648 22138960 24415345 26792060 30658256 38322820 39064552 48830690 53584120 76645640 78129104 97661380 107168240 151375139 153291280 195322760 302750278 390645520 605500556 756875695 1211001112 1513751390 2422002224 3027502780 6055005560 12110011120