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12211433332 = 22723293132089
BaseRepresentation
bin10110101111101101…
…11010111101110100
31011112000222002100121
423113312322331310
5200002111331312
65335421221324
7611416320310
oct132766727564
934460862317
1012211433332
1151a704366a
122449701844
1311c7bc2bc7
1483bb38b40
154b70d7707
hex2d7dbaf74

12211433332 has 96 divisors (see below), whose sum is σ = 26460403200. Its totient is φ = 4815562752.

The previous prime is 12211433281. The next prime is 12211433341. The reversal of 12211433332 is 23333411221.

It is a junction number, because it is equal to n+sod(n) for n = 12211433297 and 12211433306.

It is a congruent 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, 5844544 + ... + 5846632.

It is an arithmetic number, because the mean of its divisors is an integer number (275629200).

Almost surely, 212211433332 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 12211433332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13230201600).

12211433332 is an abundant number, since it is smaller than the sum of its proper divisors (14248969868).

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

12211433332 is a wasteful number, since it uses less digits than its factorization.

12211433332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2463 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

Adding to 12211433332 its reverse (23333411221), we get a palindrome (35544844553).

The spelling of 12211433332 in words is "twelve billion, two hundred eleven million, four hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 203 313 322 406 626 644 667 812 1252 1334 2089 2191 2668 4178 4382 4669 7199 8356 8764 9077 9338 14398 14623 18154 18676 28796 29246 36308 48047 50393 58492 60581 63539 96094 100786 121162 127078 192188 201572 208771 242324 254156 336329 417542 424067 653857 672658 835084 848134 1307714 1345316 1393363 1461397 1696268 2615428 2786726 2922794 4576999 5573452 5845588 9153998 9753541 15038711 18307996 18961853 19507082 30077422 37923706 39014164 60154844 75847412 105270977 132732971 210541954 265465942 421083908 436122619 530931884 872245238 1744490476 3052858333 6105716666 12211433332