Search a number
-
+
12110122122010 = 2511317150019091
BaseRepresentation
bin1011000000111001101110…
…0001101111101100011010
31120212201100020021112001221
42300032123201233230122
53041403012230401020
641431151401202254
72356633054422553
oct260163341575432
946781306245057
1012110122122010
113949968255aa0
12143703349038a
1369ac972a7523
142dc1c10b132a
1516002aadc6aa
hexb039b86fb1a

12110122122010 has 64 divisors (see below), whose sum is σ = 24892701401088. Its totient is φ = 4201603560000.

The previous prime is 12110122121987. The next prime is 12110122122011. The reversal of 12110122122010 is 1022122101121.

It is not an unprimeable number, because it can be changed into a prime (12110122122011) by changing a digit.

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, 24767436 + ... + 25251655.

It is an arithmetic number, because the mean of its divisors is an integer number (388948459392).

Almost surely, 212110122122010 is an apocalyptic number.

12110122122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12110122122010 is an abundant number, since it is smaller than the sum of its proper divisors (12782579279078).

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

12110122122010 is a wasteful number, since it uses less digits than its factorization.

12110122122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50019211.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12110122122010 its reverse (1022122101121), we get a palindrome (13132244223131).

The spelling of 12110122122010 in words is "twelve trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 10 11 22 31 55 62 71 110 142 155 310 341 355 682 710 781 1562 1705 2201 3410 3905 4402 7810 11005 22010 24211 48422 121055 242110 50019091 100038182 250095455 500190910 550210001 1100420002 1550591821 2751050005 3101183642 3551355461 5502100010 7102710922 7752959105 15505918210 17056510031 17756777305 34113020062 35513554610 39064910071 78129820142 85282550155 110092019291 170565100310 195324550355 220184038582 390649100710 550460096455 1100920192910 1211012212201 2422024424402 6055061061005 12110122122010