Search a number
-
+
12112000323120 = 2433522741246577
BaseRepresentation
bin1011000001000000101101…
…1110100000111000110000
31120212220012010110000122000
42300100023132200320300
53041420334040314440
641432102013414000
72360030442031545
oct260201336407060
946786163400560
1012112000323120
11394a741472315
12143747849a300
1369b206447c29
142dc31c702bcc
151600da941730
hexb040b7a0e30

12112000323120 has 160 divisors (see below), whose sum is σ = 41721115957440. Its totient is φ = 3229711626240.

The previous prime is 12112000323089. The next prime is 12112000323121. The reversal of 12112000323120 is 2132300021121.

12112000323120 is a `hidden beast` number, since 1 + 21 + 1 + 200 + 0 + 323 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12112000323093 and 12112000323102.

It is not an unprimeable number, because it can be changed into a prime (12112000323121) by changing a digit.

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, 48997272 + ... + 49243848.

It is an arithmetic number, because the mean of its divisors is an integer number (260756974734).

Almost surely, 212112000323120 is an apocalyptic number.

12112000323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112000323120 is an abundant number, since it is smaller than the sum of its proper divisors (29609115634320).

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

12112000323120 is a wasteful number, since it uses less digits than its factorization.

12112000323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269340 (or 269328 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12112000323120 its reverse (2132300021121), we get a palindrome (14244300344241).

The spelling of 12112000323120 in words is "twelve trillion, one hundred twelve billion, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 22741 45482 68223 90964 113705 136446 181928 204669 227410 246577 272892 341115 363856 409338 454820 493154 545784 614007 682230 739731 818676 909640 986308 1023345 1091568 1228014 1232885 1364460 1479462 1637352 1819280 1972616 2046690 2219193 2456028 2465770 2728920 2958924 3070035 3274704 3698655 3945232 4093380 4438386 4912056 4931540 5457840 5917848 6140070 6657579 7397310 8186760 8876772 9824112 9863080 11095965 11835696 12280140 13315158 14794620 16373520 17753544 19726160 22191930 24560280 26630316 29589240 33287895 35507088 44383860 49120560 53260632 59178480 66575790 88767720 106521264 133151580 177535440 266303160 532606320 5607407557 11214815114 16822222671 22429630228 28037037785 33644445342 44859260456 50466668013 56074075570 67288890684 84111113355 89718520912 100933336026 112148151140 134577781368 151400004039 168222226710 201866672052 224296302280 252333340065 269155562736 302800008078 336444453420 403733344104 448592604560 504666680130 605600016156 672888906840 757000020195 807466688208 1009333360260 1211200032312 1345777813680 1514000040390 2018666720520 2422400064624 3028000080780 4037333441040 6056000161560 12112000323120