Search a number
-
+
12221112003232 = 2511139632339503
BaseRepresentation
bin1011000111010111001100…
…0010100010101010100000
31121021022211022022200012111
42301311303002202222200
53100212314133100412
641554145031405104
72400642356021236
oct261656302425240
947238738280174
1012221112003232
113991a43138560
121454649823794
136a85a48aa962
1430370d92a956
15162d74a682a7
hexb1d730a2aa0

12221112003232 has 96 divisors (see below), whose sum is σ = 26441297648640. Its totient is φ = 5514074699520.

The previous prime is 12221112003227. The next prime is 12221112003253. The reversal of 12221112003232 is 23230021112221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309351993 + ... + 309391495.

It is an arithmetic number, because the mean of its divisors is an integer number (275430183840).

Almost surely, 212221112003232 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 12221112003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13220648824320).

12221112003232 is an abundant number, since it is smaller than the sum of its proper divisors (14220185645408).

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

12221112003232 is a wasteful number, since it uses less digits than its factorization.

12221112003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45986 (or 45978 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12221112003232 its reverse (23230021112221), we get a palindrome (35451133115453).

The spelling of 12221112003232 in words is "twelve trillion, two hundred twenty-one billion, one hundred twelve million, three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 139 176 278 352 556 1112 1529 2224 3058 4448 6116 6323 12232 12646 24464 25292 39503 48928 50584 69553 79006 101168 139106 158012 202336 278212 316024 434533 556424 632048 869066 878897 1112848 1264096 1738132 1757794 2225696 3476264 3515588 5490917 6952528 7031176 9667867 10981834 13905056 14062352 19335734 21963668 28124704 38671468 43927336 60400087 77342936 87854672 120800174 154685872 175709344 241600348 249777469 309371744 483200696 499554938 966401392 999109876 1932802784 1998219752 2747552159 3996439504 5495104318 7992879008 10990208636 21980417272 34719068191 43960834544 69438136382 87921669088 138876272764 277752545528 381909750101 555505091056 763819500202 1111010182112 1527639000404 3055278000808 6110556001616 12221112003232