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12332230032 = 2431731598263
BaseRepresentation
bin10110111110000111…
…01110010110010000
31011211110021012021110
423133003232112100
5200224022330112
65355414253320
7614414140263
oct133703562620
934743235243
1012332230032
115259249a51
122482057240
131216c38645
1484dbc0cda
154c29e913c
hex2df0ee590

12332230032 has 160 divisors (see below), whose sum is σ = 35414876160. Its totient is φ = 3680225280.

The previous prime is 12332229997. The next prime is 12332230037. The reversal of 12332230032 is 23003223321.

It is a junction number, because it is equal to n+sod(n) for n = 12332229990 and 12332230008.

It is not an unprimeable number, because it can be changed into a prime (12332230037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1488333 + ... + 1496595.

It is an arithmetic number, because the mean of its divisors is an integer number (221342976).

Almost surely, 212332230032 is an apocalyptic number.

12332230032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707438080).

12332230032 is an abundant number, since it is smaller than the sum of its proper divisors (23082646128).

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

12332230032 is a wasteful number, since it uses less digits than its factorization.

12332230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8381 (or 8375 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 12332230032 its reverse (23003223321), we get a palindrome (35335453353).

The spelling of 12332230032 in words is "twelve billion, three hundred thirty-two million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 59 62 68 93 102 118 124 136 177 186 204 236 248 272 354 372 408 472 496 527 708 744 816 944 1003 1054 1416 1488 1581 1829 2006 2108 2832 3009 3162 3658 4012 4216 5487 6018 6324 7316 8024 8263 8432 10974 12036 12648 14632 16048 16526 21948 24072 24789 25296 29264 31093 33052 43896 48144 49578 62186 66104 87792 93279 99156 124372 132208 140471 186558 198312 248744 256153 280942 373116 396624 421413 487517 497488 512306 561884 746232 768459 842826 975034 1024612 1123768 1462551 1492464 1536918 1685652 1950068 2049224 2247536 2925102 3073836 3371304 3900136 4098448 4354601 5850204 6147672 6742608 7800272 8287789 8709202 11700408 12295344 13063803 15113027 16575578 17418404 23400816 24863367 26127606 30226054 33151156 34836808 45339081 49726734 52255212 60452108 66302312 69673616 90678162 99453468 104510424 120904216 132604624 181356324 198906936 209020848 241808432 256921459 362712648 397813872 513842918 725425296 770764377 1027685836 1541528754 2055371672 3083057508 4110743344 6166115016 12332230032