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12032331232221 = 3221296269100169
BaseRepresentation
bin1010111100010111111011…
…0101000011001111011101
31120121021112211222212120200
42233011332311003033131
53034114203243412341
641331324320334113
72351210245652526
oct257057665031735
946537484885520
1012032331232221
113919979331133
121423b43474339
1369384aa43921
142d85218a584d
1515cec6539db6
hexaf17ed433dd

12032331232221 has 24 divisors (see below), whose sum is σ = 17391144771000. Its totient is φ = 8016427410432.

The previous prime is 12032331232157. The next prime is 12032331232223. The reversal of 12032331232221 is 12223213323021.

12032331232221 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 2 + 3 + 312 + 322 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 349511528025 + 11682819704196 = 591195^2 + 3418014^2 .

It is not a de Polignac number, because 12032331232221 - 26 = 12032331232157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032331232223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120070225 + ... + 120170393.

It is an arithmetic number, because the mean of its divisors is an integer number (724631032125).

Almost surely, 212032331232221 is an apocalyptic number.

It is an amenable number.

12032331232221 is a deficient number, since it is larger than the sum of its proper divisors (5358813538779).

12032331232221 is a wasteful number, since it uses less digits than its factorization.

12032331232221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108573 (or 108570 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12032331232221 its reverse (12223213323021), we get a palindrome (24255544555242).

The spelling of 12032331232221 in words is "twelve trillion, thirty-two billion, three hundred thirty-one million, two hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 2129 6269 6387 18807 19161 56421 100169 300507 901521 13346701 40040103 120120309 213259801 627959461 639779403 1883878383 1919338209 5651635149 1336925692469 4010777077407 12032331232221