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12141300314121 = 3113783291193869
BaseRepresentation
bin1011000010101101110111…
…1001000111000000001001
31120222200211002112210011220
42300223131321013000021
53042410340340022441
641453345242112253
72362115511611046
oct260533571070011
946880732483156
1012141300314121
113961107560210
121441094aab689
136a0bc5799804
142dd8dbbb01cd
15160c52d95466
hexb0adde47009

12141300314121 has 32 divisors (see below), whose sum is σ = 18139565270400. Its totient is φ = 7158623546880.

The previous prime is 12141300314113. The next prime is 12141300314177.

12141300314121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12141300314121 - 23 = 12141300314113 is a prime.

It is a super-2 number, since 2×121413003141212 (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 = 12141300314091 and 12141300314100.

It is not an unprimeable number, because it can be changed into a prime (12141300314021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9572775 + ... + 10766643.

It is an arithmetic number, because the mean of its divisors is an integer number (566861414700).

Almost surely, 212141300314121 is an apocalyptic number.

12141300314121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12141300314121 is a deficient number, since it is larger than the sum of its proper divisors (5998264956279).

12141300314121 is a wasteful number, since it uses less digits than its factorization.

12141300314121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202249.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 12141300 and 314121, that added together give a palindrome (12455421).

The spelling of 12141300314121 in words is "twelve trillion, one hundred forty-one billion, three hundred million, three hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 3 11 33 37 111 407 1221 8329 24987 91619 274857 308173 924519 1193869 3389903 3581607 10169709 13132559 39397677 44173153 132519459 485904683 1457714049 9943734901 29831204703 109381083911 328143251733 367918191337 1103754574011 4047100104707 12141300314121