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12121443101029 = 1011494817167213
BaseRepresentation
bin1011000001100011111001…
…0011110110100101100101
31120220210120012200211202011
42300120332103312211211
53042044203413213104
641440303013114221
72360513442232363
oct260307623664545
946823505624664
1012121443101029
1139537476970a9
121439272928971
1369c07c866892
142dc976856633
1516048e931904
hexb063e4f6965

12121443101029 has 16 divisors (see below), whose sum is σ = 12326246895600. Its totient is φ = 11918336281600.

The previous prime is 12121443101017. The next prime is 12121443101113. The reversal of 12121443101029 is 92010134412121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2237100804 + 12119206000225 = 47298^2 + 3481265^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121443101029 - 211 = 12121443098981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121443101129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72407427 + ... + 72574639.

It is an arithmetic number, because the mean of its divisors is an integer number (770390430975).

Almost surely, 212121443101029 is an apocalyptic number.

It is an amenable number.

12121443101029 is a deficient number, since it is larger than the sum of its proper divisors (204803794571).

12121443101029 is a wasteful number, since it uses less digits than its factorization.

12121443101029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172280.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 12121443101029 in words is "twelve trillion, one hundred twenty-one billion, four hundred forty-three million, one hundred one thousand, twenty-nine".

Divisors: 1 101 149 4817 15049 167213 486517 717733 16888513 24914737 72491033 805465021 2516388437 81351967121 120014288129 12121443101029