Search a number
-
+
12210133223112 = 23311431075593131
BaseRepresentation
bin1011000110101110010010…
…1001110100011011001000
31121020021111011210212011120
42301223210221310123020
53100022323101114422
641545131402155240
72400103324645026
oct261534451643310
947207434725146
1012210133223112
113988319983560
1214524a4ab2b20
136a75451a2a66
14302d8b7c1716
15162930cbb45c
hexb1ae4a746c8

12210133223112 has 64 divisors (see below), whose sum is σ = 34074790421760. Its totient is φ = 3613992916800.

The previous prime is 12210133223033. The next prime is 12210133223117. The reversal of 12210133223112 is 21132233101221.

It is a super-2 number, since 2×122101332231122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12210133223117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537785214 + ... + 537807917.

It is an arithmetic number, because the mean of its divisors is an integer number (532418600340).

Almost surely, 212210133223112 is an apocalyptic number.

12210133223112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12210133223112 is an abundant number, since it is smaller than the sum of its proper divisors (21864657198648).

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

12210133223112 is a wasteful number, since it uses less digits than its factorization.

12210133223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075593194 (or 1075593190 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12210133223112 its reverse (21132233101221), we get a palindrome (33342366324333).

The spelling of 12210133223112 in words is "twelve trillion, two hundred ten billion, one hundred thirty-three million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 1075593131 2151186262 3226779393 4302372524 6453558786 8604745048 11831524441 12907117572 23663048882 25814235144 35494573323 46250504633 47326097764 70989146646 92501009266 94652195528 138751513899 141978293292 185002018532 277503027798 283956586584 370004037064 508755550963 555006055596 1017511101926 1110012111192 1526266652889 2035022203852 3052533305778 4070044407704 6105066611556 12210133223112