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12001300312221 = 3211211020477789
BaseRepresentation
bin1010111010100100010100…
…1111011111000010011101
31120111022110020211210211100
42232221011033133002131
53033112130334442341
641305153220143313
72346031260333153
oct256510517370235
946438406753740
1012001300312221
1139077a5175700
121419b23237b39
13690943c069bc
142d6c1a5813d3
1515c2ac1733b6
hexaea453df09d

12001300312221 has 18 divisors (see below), whose sum is σ = 19054406098910. Its totient is φ = 7273515340080.

The previous prime is 12001300312193. The next prime is 12001300312387. The reversal of 12001300312221 is 12221300310021.

12001300312221 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 130 + 0 + 312 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11999365280100 + 1935032121 = 3464010^2 + 43989^2 .

It is not a de Polignac number, because 12001300312221 - 238 = 11726422405277 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001300312194 and 12001300312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001300312721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5510237806 + ... + 5510239983.

Almost surely, 212001300312221 is an apocalyptic number.

12001300312221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001300312221 is a deficient number, since it is larger than the sum of its proper divisors (7053105786689).

12001300312221 is a wasteful number, since it uses less digits than its factorization.

12001300312221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11020477817 (or 11020477803 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12001300312221 its reverse (12221300310021), we get a palindrome (24222600622242).

The spelling of 12001300312221 in words is "twelve trillion, one billion, three hundred million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 11020477789 33061433367 99184300101 121225255679 363675767037 1091027301111 1333477812469 4000433437407 12001300312221