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12022315551441 = 32134710920057551
BaseRepresentation
bin1010111011110010100111…
…0110010000101011010001
31120120022200211201120110200
42232330221312100223101
53033433200240121231
641322550413445413
72350404121041156
oct256745166205321
946508624646420
1012022315551441
1139156a97869a8
1214220091a0869
13692912a25cb0
142d7c5162022d
1515cadc0d0be6
hexaef29d90ad1

12022315551441 has 48 divisors (see below), whose sum is σ = 19274505169920. Its totient is φ = 7174505404800.

The previous prime is 12022315551383. The next prime is 12022315551451. The reversal of 12022315551441 is 14415551322021.

12022315551441 is a `hidden beast` number, since 1 + 2 + 0 + 22 + 31 + 55 + 514 + 41 = 666.

It is not a de Polignac number, because 12022315551441 - 27 = 12022315551313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12022315551396 and 12022315551405.

It is not an unprimeable number, because it can be changed into a prime (12022315551451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9429385 + ... + 10628166.

It is an arithmetic number, because the mean of its divisors is an integer number (401552191040).

Almost surely, 212022315551441 is an apocalyptic number.

It is an amenable number.

12022315551441 is a deficient number, since it is larger than the sum of its proper divisors (7252189618479).

12022315551441 is a wasteful number, since it uses less digits than its factorization.

12022315551441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20057726 (or 20057723 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 12022315551441 its reverse (14415551322021), we get a palindrome (26437866873462).

The spelling of 12022315551441 in words is "twelve trillion, twenty-two billion, three hundred fifteen million, five hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 47 109 117 141 327 423 611 981 1417 1833 4251 5123 5499 12753 15369 46107 66599 199797 599391 20057551 60172653 180517959 260748163 782244489 942704897 2186273059 2346733467 2828114691 6558819177 8484344073 12255163661 19676457531 28421549767 36765490983 85264649301 102754833773 110296472949 255793947903 308264501319 924793503957 1335812839049 4007438517147 12022315551441