Search a number
-
+
12000111121110 = 2357283320170627
BaseRepresentation
bin1010111010011111111001…
…0111000101001011010110
31120111012101101011122022010
42232213332113011023112
53033102211421333420
641304435215445050
72345656640353530
oct256477627051326
946435341148263
1012000111121110
113907244981832
121419850b26786
136907b4728318
142d6b46666850
1515c23ca704e0
hexae9fe5c52d6

12000111121110 has 64 divisors (see below), whose sum is σ = 32926210417152. Its totient is φ = 2741914215936.

The previous prime is 12000111121099. The next prime is 12000111121121. The reversal of 12000111121110 is 1112111100021.

It is an interprime number because it is at equal distance from previous prime (12000111121099) and next prime (12000111121121).

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, 9490384 + ... + 10680243.

It is an arithmetic number, because the mean of its divisors is an integer number (514472037768).

Almost surely, 212000111121110 is an apocalyptic number.

12000111121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12000111121110 is an abundant number, since it is smaller than the sum of its proper divisors (20926099296042).

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

12000111121110 is a wasteful number, since it uses less digits than its factorization.

12000111121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20173477.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12000111121110 its reverse (1112111100021), we get a palindrome (13112222221131).

The spelling of 12000111121110 in words is "twelve trillion, one hundred eleven million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 2833 5666 8499 14165 16998 19831 28330 39662 42495 59493 84990 99155 118986 198310 297465 594930 20170627 40341254 60511881 100853135 121023762 141194389 201706270 282388778 302559405 423583167 605118810 705971945 847166334 1411943890 2117915835 4235831670 57143386291 114286772582 171430158873 285716931455 342860317746 400003704037 571433862910 800007408074 857150794365 1200011112111 1714301588730 2000018520185 2400022224222 4000037040370 6000055560555 12000111121110