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12334113132 = 223111011994649
BaseRepresentation
bin10110111110010101…
…11010000101101100
31011211120210212101220
423133022322011230
5200230013110012
65355522503340
7614436142335
oct133712720554
934746725356
1012334113132
11525a315830
122482804b50
1312174477c3
1485015128c
154c2c6c08c
hex2df2ba16c

12334113132 has 96 divisors (see below), whose sum is σ = 31872960000. Its totient is φ = 3681216000.

The previous prime is 12334113119. The next prime is 12334113161. The reversal of 12334113132 is 23131143321.

It is a nude number because it is divisible by every one of its digits.

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, 2650744 + ... + 2655392.

It is an arithmetic number, because the mean of its divisors is an integer number (332010000).

Almost surely, 212334113132 is an apocalyptic number.

12334113132 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 12334113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480000).

12334113132 is an abundant number, since it is smaller than the sum of its proper divisors (19538846868).

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

12334113132 is a wasteful number, since it uses less digits than its factorization.

12334113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4965 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 12334113132 its reverse (23131143321), we get a palindrome (35465256453).

The spelling of 12334113132 in words is "twelve billion, three hundred thirty-four million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 199 202 303 398 404 597 606 796 1111 1194 1212 2189 2222 2388 3333 4378 4444 4649 6567 6666 8756 9298 13134 13332 13947 18596 20099 26268 27894 40198 51139 55788 60297 80396 102278 120594 153417 204556 221089 241188 306834 442178 469549 613668 663267 884356 925151 939098 1326534 1408647 1850302 1878196 2653068 2775453 2817294 3700604 5165039 5550906 5634588 10176661 10330078 11101812 15495117 20353322 20660156 30529983 30990234 40706644 61059966 61980468 93440251 122119932 186880502 280320753 373761004 560641506 1027842761 1121283012 2055685522 3083528283 4111371044 6167056566 12334113132