Search a number
-
+
12120112202010 = 2359715451269561
BaseRepresentation
bin1011000001011110111011…
…1110111000000100011010
31120220200010110101011111220
42300113232332320010122
53042033442210431020
641435522551232510
72360435451620331
oct260275676700432
946820113334456
1012120112202010
113953124404a5a
121438b61078736
1369bbc9c00677
142dc88bbb0d18
15160412b8b240
hexb05eefb811a

12120112202010 has 64 divisors (see below), whose sum is σ = 29390159401344. Its totient is φ = 3198491136000.

The previous prime is 12120112201991. The next prime is 12120112202039. The reversal of 12120112202010 is 1020221102121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44827630 + ... + 45097190.

It is an arithmetic number, because the mean of its divisors is an integer number (459221240646).

Almost surely, 212120112202010 is an apocalyptic number.

12120112202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120112202010 is an abundant number, since it is smaller than the sum of its proper divisors (17270047199334).

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

12120112202010 is a wasteful number, since it uses less digits than its factorization.

12120112202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285119.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12120112202010 its reverse (1020221102121), we get a palindrome (13140333304131).

The spelling of 12120112202010 in words is "twelve trillion, one hundred twenty billion, one hundred twelve million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 97 194 291 485 582 970 1455 2910 15451 30902 46353 77255 92706 154510 231765 269561 463530 539122 808683 1347805 1498747 1617366 2695610 2997494 4043415 4496241 7493735 8086830 8992482 14987470 22481205 26147417 44962410 52294834 78442251 130737085 156884502 261474170 392211255 784422510 4164987011 8329974022 12494961033 20824935055 24989922066 41649870110 62474805165 124949610330 404003740067 808007480134 1212011220201 2020018700335 2424022440402 4040037400670 6060056101005 12120112202010