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12012012301311 = 3311128657314359
BaseRepresentation
bin1010111011001100001110…
…1110011110101111111111
31120112100002210100020101000
42232303003232132233333
53033301100122120221
641314124155221343
72346560601622101
oct256630356365777
946470083306330
1012012012301311
1139112a1878650
121420012747853
13691960270599
142d75550bd571
1515c6d77c0e26
hexaecc3b9ebff

12012012301311 has 32 divisors (see below), whose sum is σ = 19413565862400. Its totient is φ = 7279927712640.

The previous prime is 12012012301309. The next prime is 12012012301379. The reversal of 12012012301311 is 11310321021021.

12012012301311 is a `hidden beast` number, since 1 + 2 + 0 + 120 + 1 + 230 + 1 + 311 = 666.

It is not a de Polignac number, because 12012012301311 - 21 = 12012012301309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012012301301) 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, 38053950 + ... + 38368308.

It is an arithmetic number, because the mean of its divisors is an integer number (606673933200).

Almost surely, 212012012301311 is an apocalyptic number.

12012012301311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12012012301311 is a deficient number, since it is larger than the sum of its proper divisors (7401553561089).

12012012301311 is a wasteful number, since it uses less digits than its factorization.

12012012301311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443036 (or 443030 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12012012301311 its reverse (11310321021021), we get a palindrome (23322333322332).

The spelling of 12012012301311 in words is "twelve trillion, twelve billion, twelve million, three hundred one thousand, three hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 128657 314359 385971 943077 1157913 1415227 2829231 3457949 3473739 4245681 8487693 10373847 12737043 31121541 38211129 93364623 40444485863 121333457589 364000372767 444889344493 1092001118301 1334668033479 4004004100437 12012012301311