Search a number
-
+
12111120012012 = 2237178481176479
BaseRepresentation
bin1011000000111101011100…
…0000011001001011101100
31120212210220202222120210220
42300033113000121023230
53041412033210341022
641431434405331340
72356666562355060
oct260172700311354
946783822876726
1012111120012012
11394a32a56857a
121437271706b50
1369b0c5c56198
142dc27782daa0
1516008850385c
hexb03d70192ec

12111120012012 has 48 divisors (see below), whose sum is σ = 34196103567360. Its totient is φ = 3256771767552.

The previous prime is 12111120012001. The next prime is 12111120012023. The reversal of 12111120012012 is 21021002111121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12111120012001) and next prime (12111120012023).

It is a junction number, because it is equal to n+sod(n) for n = 12111120011982 and 12111120012000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4240586812 + ... + 4240589667.

It is an arithmetic number, because the mean of its divisors is an integer number (712418824320).

Almost surely, 212111120012012 is an apocalyptic number.

12111120012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12111120012012 is an abundant number, since it is smaller than the sum of its proper divisors (22084983555348).

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

12111120012012 is a wasteful number, since it uses less digits than its factorization.

12111120012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8481176510 (or 8481176508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12111120012012 its reverse (21021002111121), we get a palindrome (33132122123133).

The spelling of 12111120012012 in words is "twelve trillion, one hundred eleven billion, one hundred twenty million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 8481176479 16962352958 25443529437 33924705916 50887058874 59368235353 101774117748 118736470706 144180000143 178104706059 237472941412 288360000286 356209412118 432540000429 576720000572 712418824236 865080000858 1009260001001 1730160001716 2018520002002 3027780003003 4037040004004 6055560006006 12111120012012