Search a number
-
+
12022012122232 = 23743917159787
BaseRepresentation
bin1010111011110001011111…
…0000110001010001111000
31120120021220200202202211211
42232330113300301101320
53033432040100402412
641322500334132504
72350363444660000
oct256742760612170
946507820682754
1012022012122232
113915563480062
121421b43651134
13692894bc7398
142d7c231d7000
1515cac0645ca7
hexaef17c31478

12022012122232 has 80 divisors (see below), whose sum is σ = 26303464868760. Its totient is φ = 5150943306432.

The previous prime is 12022012122229. The next prime is 12022012122233. The reversal of 12022012122232 is 23222121022021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022012122233) 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 19 ways as a sum of consecutive naturals, for example, 75157843 + ... + 75317629.

Almost surely, 212022012122232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022012122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13151732434380).

12022012122232 is an abundant number, since it is smaller than the sum of its proper divisors (14281452746528).

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

12022012122232 is an equidigital number, since it uses as much as digits as its factorization.

12022012122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163738 (or 163713 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12022012122232 its reverse (23222121022021), we get a palindrome (35244133144253).

The spelling of 12022012122232 in words is "twelve trillion, twenty-two billion, twelve million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2401 2744 3917 4802 7834 9604 15668 19208 27419 31336 54838 109676 159787 191933 219352 319574 383866 639148 767732 1118509 1278296 1343531 1535464 2237018 2687062 4474036 5374124 7829563 8948072 9404717 10748248 15659126 18809434 31318252 37618868 54806941 62636504 75237736 109613882 219227764 383648587 438455528 625885679 767297174 1251771358 1534594348 2503542716 3069188696 4381199753 5007085432 8762399506 17524799012 30668398271 35049598024 61336796542 122673593084 214678787897 245347186168 429357575794 858715151588 1502751515279 1717430303176 3005503030558 6011006061116 12022012122232