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12332332012 = 227111329106207
BaseRepresentation
bin10110111110001000…
…00111001111101100
31011211110110101011111
423133010013033230
5200224034111022
65355420401404
7614415043510
oct133704071754
934743411144
1012332332012
115259309630
1224820a6264
131216c72ba0
1484dc0a140
154c2a19477
hex2df1073ec

12332332012 has 96 divisors (see below), whose sum is σ = 29976145920. Its totient is φ = 4282225920.

The previous prime is 12332332003. The next prime is 12332332057. The reversal of 12332332012 is 21023323321.

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 31 ways as a sum of consecutive naturals, for example, 63013 + ... + 169219.

It is an arithmetic number, because the mean of its divisors is an integer number (312251520).

Almost surely, 212332332012 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 12332332012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988072960).

12332332012 is an abundant number, since it is smaller than the sum of its proper divisors (17643813908).

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

12332332012 is a wasteful number, since it uses less digits than its factorization.

12332332012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106271 (or 106269 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12332332012 its reverse (21023323321), we get a palindrome (33355655333).

The spelling of 12332332012 in words is "twelve billion, three hundred thirty-two million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 52 58 77 91 116 143 154 182 203 286 308 319 364 377 406 572 638 754 812 1001 1276 1508 2002 2233 2639 4004 4147 4466 5278 8294 8932 10556 16588 29029 58058 106207 116116 212414 424828 743449 1168277 1380691 1486898 2336554 2761382 2973796 3080003 4673108 5522764 6160006 8177939 9664837 12320012 15187601 16355878 19329674 21560021 30375202 32711756 33880033 38659348 40040039 43120042 60750404 67760066 80080078 86240084 106313207 135520132 160160156 212626414 237160231 280280273 425252828 440440429 474320462 560560546 880880858 948640924 1121121092 1761761716 3083083003 6166166006 12332332012