Search a number
-
+
12211120111000 = 2353173701194083
BaseRepresentation
bin1011000110110001111101…
…1110011111110110011000
31121020101000221210221211211
42301230133132133312120
53100031333222023000
641545413334432504
72400136640235136
oct261543736376630
947211027727754
1012211120111000
113988785a60a88
12145271b502734
136a767179b9a5
143030428b8756
1516298c75c7ba
hexb1b1f79fd98

12211120111000 has 128 divisors (see below), whose sum is σ = 30263176532160. Its totient is φ = 4595861760000.

The previous prime is 12211120110991. The next prime is 12211120111019. The reversal of 12211120111000 is 11102111221.

It is a happy number.

It is a super-2 number, since 2×122111201110002 (a number of 27 digits) contains 22 as substring.

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, 62819959 + ... + 63014041.

Almost surely, 212211120111000 is an apocalyptic number.

12211120111000 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 12211120111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15131588266080).

12211120111000 is an abundant number, since it is smaller than the sum of its proper divisors (18052056421160).

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

12211120111000 is a wasteful number, since it uses less digits than its factorization.

12211120111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197822 (or 197808 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12211120111000 its reverse (11102111221), we get a palindrome (12222222222221).

The spelling of 12211120111000 in words is "twelve trillion, two hundred eleven billion, one hundred twenty million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 3701 4250 7402 8500 14804 17000 18505 29608 37010 62917 74020 92525 125834 148040 185050 194083 251668 314585 370100 388166 462625 503336 629170 740200 776332 925250 970415 1258340 1552664 1572925 1850500 1940830 2516680 3145850 3299411 3701000 3881660 4852075 6291700 6598822 7763320 7864625 9704150 12583400 13197644 15729250 16497055 19408300 24260375 26395288 31458500 32994110 38816600 48520750 62917000 65988220 82485275 97041500 131976440 164970550 194083000 329941100 412426375 659882200 718301183 824852750 1436602366 1649705500 2873204732 3299411000 3591505915 5746409464 7183011830 12211120111 14366023660 17957529575 24422240222 28732047320 35915059150 48844480444 61055600555 71830118300 89787647875 97688960888 122111201110 143660236600 179575295750 244222402220 305278002775 359150591500 488444804440 610556005550 718301183000 1221112011100 1526390013875 2442224022200 3052780027750 6105560055500 12211120111000