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12333224141112 = 2337104701701159
BaseRepresentation
bin1011001101111000110101…
…1100011010000100111000
31121200001012121002101001110
42303132031130122010320
53104031420340003422
642121445511520320
72412021535331130
oct263361534320470
947601177071043
1012333224141112
113a25544557066
1214723179890a0
136b6030855394
14308d07439ac0
15165c372c460c
hexb378d71a138

12333224141112 has 64 divisors (see below), whose sum is σ = 35238170073600. Its totient is φ = 3523739644800.

The previous prime is 12333224141111. The next prime is 12333224141131. The reversal of 12333224141112 is 21114142233321.

12333224141112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12333224141112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12333224141111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17239189 + ... + 17940347.

It is an arithmetic number, because the mean of its divisors is an integer number (550596407400).

Almost surely, 212333224141112 is an apocalyptic number.

12333224141112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12333224141112 is an abundant number, since it is smaller than the sum of its proper divisors (22904945932488).

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

12333224141112 is a wasteful number, since it uses less digits than its factorization.

12333224141112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805876 (or 805872 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 12333224141112 its reverse (21114142233321), we get a palindrome (33447366374433).

The spelling of 12333224141112 in words is "twelve trillion, three hundred thirty-three billion, two hundred twenty-four million, one hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 104701 209402 314103 418804 628206 701159 732907 837608 1256412 1402318 1465814 2103477 2198721 2512824 2804636 2931628 4206954 4397442 4908113 5609272 5863256 8413908 8794884 9816226 14724339 16827816 17589768 19632452 29448678 39264904 58897356 117794712 73412048459 146824096918 220236145377 293648193836 440472290754 513884339213 587296387672 880944581508 1027768678426 1541653017639 1761889163016 2055537356852 3083306035278 4111074713704 6166612070556 12333224141112