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12511125045441 = 3311476114693059
BaseRepresentation
bin1011011000001111100100…
…1010100000000011000001
31122022001101211000200101000
42312003321022200003001
53114440241002423231
642335310445402213
72430620225141601
oct266037112400301
948261354020330
1012511125045441
113a93a35a18630
1214a08a6569369
136c9a42637589
14313782542c01
1516a69a5936e6
hexb60f92a00c1

12511125045441 has 64 divisors (see below), whose sum is σ = 20988742348800. Its totient is φ = 7299511214400.

The previous prime is 12511125045407. The next prime is 12511125045521. The reversal of 12511125045441 is 14454052111521.

12511125045441 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 112 + 50 + 454 + 41 = 666.

It is not a de Polignac number, because 12511125045441 - 223 = 12511116656833 is a prime.

It is a super-2 number, since 2×125111250454412 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12511125045396 and 12511125045405.

It is not an unprimeable number, because it can be changed into a prime (12511125040441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6495031 + ... + 8198028.

It is an arithmetic number, because the mean of its divisors is an integer number (327949099200).

Almost surely, 212511125045441 is an apocalyptic number.

12511125045441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12511125045441 is a deficient number, since it is larger than the sum of its proper divisors (8477617303359).

12511125045441 is a wasteful number, since it uses less digits than its factorization.

12511125045441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14693187 (or 14693181 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 12511125045441 its reverse (14454052111521), we get a palindrome (26965177156962).

The spelling of 12511125045441 in words is "twelve trillion, five hundred eleven billion, one hundred twenty-five million, forty-five thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 47 61 99 141 183 297 423 517 549 671 1269 1551 1647 2013 2867 4653 6039 8601 13959 18117 25803 31537 77409 94611 283833 851499 14693059 44079177 132237531 161623649 396712593 484870947 690573773 896276599 1454612841 2071721319 2688829797 4363838523 6215163957 7596311503 8066489391 9859042589 18645491871 22788934509 24199468173 29577127767 42125000153 68366803527 88731383301 126375000459 205100410581 266194149903 379125001377 463375001683 1137375004131 1390125005049 4170375015147 12511125045441