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12012231232122 = 23112711092137973
BaseRepresentation
bin1010111011001101000011…
…0001101000101001111010
31120112100200001022001222120
42232303100301220221322
53033302022143411442
641314202015502110
72346566200533252
oct256632061505172
946470601261876
1012012231232122
1139113a4410600
121420073b27936
13691996725444
142d75761cc962
1515c6ebb194ec
hexaecd0c68a7a

12012231232122 has 96 divisors (see below), whose sum is σ = 27024675511680. Its totient is φ = 3555875030400.

The previous prime is 12012231232121. The next prime is 12012231232153. The reversal of 12012231232122 is 22123213221021.

12012231232122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12012231232092 and 12012231232101.

It is not an unprimeable number, because it can be changed into a prime (12012231232121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4549528 + ... + 6687500.

It is an arithmetic number, because the mean of its divisors is an integer number (281507036580).

Almost surely, 212012231232122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012231232122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512337755840).

12012231232122 is an abundant number, since it is smaller than the sum of its proper divisors (15012444279558).

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

12012231232122 is a wasteful number, since it uses less digits than its factorization.

12012231232122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138180 (or 2138169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12012231232122 its reverse (22123213221021), we get a palindrome (34135444453143).

The spelling of 12012231232122 in words is "twelve trillion, twelve billion, two hundred thirty-one million, two hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 71 109 121 142 213 218 242 327 363 426 654 726 781 1199 1562 2343 2398 3597 4686 7194 7739 8591 13189 15478 17182 23217 25773 26378 39567 46434 51546 79134 85129 170258 255387 510774 936419 1872838 2137973 2809257 4275946 5618514 6413919 12827838 23517703 47035406 70553109 141106218 151796083 233039057 258694733 303592166 455388249 466078114 517389466 699117171 776084199 910776498 1398234342 1552168398 1669756913 2563429627 3339513826 5009270739 5126859254 7690288881 10018541478 15380577762 16545773047 18367326043 28197725897 33091546094 36734652086 49637319141 55101978129 56395451794 84593177691 99274638282 110203956258 169186355382 182003503517 364007007034 546010510551 1092021021102 2002038538687 4004077077374 6006115616061 12012231232122