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12234311452129 = 131778677036847
BaseRepresentation
bin1011001000001000010111…
…0010011100010111100001
31121022120220012102011010011
42302002011302130113201
53100421332212432004
642004210505404521
72401620433336444
oct262020562342741
947276805364104
1012234311452129
1139975a6959908
121457112199741
136a98c93a2b50
1430420297365b
15163398766004
hexb2085c9c5e1

12234311452129 has 16 divisors (see below), whose sum is σ = 13952211856128. Its totient is φ = 10627551482112.

The previous prime is 12234311452087. The next prime is 12234311452147. The reversal of 12234311452129 is 92125411343221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12234311452129 - 227 = 12234177234401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12234311452091 and 12234311452100.

It is not an unprimeable number, because it can be changed into a prime (12234311852129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1779817 + ... + 5257030.

It is an arithmetic number, because the mean of its divisors is an integer number (872013241008).

Almost surely, 212234311452129 is an apocalyptic number.

It is an amenable number.

12234311452129 is a deficient number, since it is larger than the sum of its proper divisors (1717900403999).

12234311452129 is a wasteful number, since it uses less digits than its factorization.

12234311452129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044744.

The product of its digits is 103680, while the sum is 40.

The spelling of 12234311452129 in words is "twelve trillion, two hundred thirty-four billion, three hundred eleven million, four hundred fifty-two thousand, one hundred twenty-nine".

Divisors: 1 13 17 221 7867 102271 133739 1738607 7036847 91479011 119626399 1555143187 55358875349 719665379537 941100880933 12234311452129