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12000332304441 = 3213120978478709
BaseRepresentation
bin1010111010100000101110…
…0010110101000000111001
31120111012221210100220210100
42232220023202311000321
53033103140032220231
641304513200310013
72345665264366065
oct256501342650071
946435853326710
1012000332304441
113907348813078
1214198b3012309
1369081b4bb530
142d6b67ba0aa5
1515c2521b11e6
hexaea0b8b5039

12000332304441 has 24 divisors (see below), whose sum is σ = 18668728911560. Its totient is φ = 7384208541696.

The previous prime is 12000332304439. The next prime is 12000332304481. The reversal of 12000332304441 is 14440323300021.

12000332304441 is a `hidden beast` number, since 1 + 20 + 0 + 0 + 332 + 304 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 709925890041 + 11290406414400 = 842571^2 + 3360120^2 .

It is not a de Polignac number, because 12000332304441 - 21 = 12000332304439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12000332304481) 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, 2824006 + ... + 5654703.

Almost surely, 212000332304441 is an apocalyptic number.

It is an amenable number.

12000332304441 is a deficient number, since it is larger than the sum of its proper divisors (6668396607119).

12000332304441 is a wasteful number, since it uses less digits than its factorization.

12000332304441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8490825 (or 8490822 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12000332304441 its reverse (14440323300021), we get a palindrome (26440655604462).

The spelling of 12000332304441 in words is "twelve trillion, three hundred thirty-two million, three hundred four thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 12097 36291 108873 157261 471783 1415349 8478709 25436127 76308381 110223217 330669651 992008953 102566942773 307700828319 923102484957 1333370256049 4000110768147 12000332304441