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12201434240321 = 411208892461729
BaseRepresentation
bin1011000110001101111000…
…1001110101010101000001
31121012110000221010202010202
42301203132021311111001
53044402014131142241
641541132252534545
72366344625551124
oct261433611652501
947173027122122
1012201434240321
1139846655a0a87
121450877781455
136a6789bb8571
143027a43663bb
151625c224ed9b
hexb18de275541

12201434240321 has 8 divisors (see below), whose sum is σ = 12499138667400. Its totient is φ = 11903734978560.

The previous prime is 12201434240243. The next prime is 12201434240341. The reversal of 12201434240321 is 12304243410221.

It can be written as a sum of positive squares in 4 ways, for example, as 462759109696 + 11738675130625 = 680264^2 + 3426175^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12201434240321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12201434240341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3725585 + ... + 6187313.

It is an arithmetic number, because the mean of its divisors is an integer number (1562392333425).

Almost surely, 212201434240321 is an apocalyptic number.

It is an amenable number.

12201434240321 is a deficient number, since it is larger than the sum of its proper divisors (297704427079).

12201434240321 is a wasteful number, since it uses less digits than its factorization.

12201434240321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582659.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 12201434240321 its reverse (12304243410221), we get a palindrome (24505677650542).

The spelling of 12201434240321 in words is "twelve trillion, two hundred one billion, four hundred thirty-four million, two hundred forty thousand, three hundred twenty-one".

Divisors: 1 41 120889 2461729 4956449 100930889 297595957081 12201434240321