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12147631744141 is a prime number
BaseRepresentation
bin1011000011000101011101…
…0001100110010010001101
31121000022011100020202101001
42300301113101212102031
53043011322211303031
641500313414420301
72362431432101515
oct260612721462215
947008140222331
1012147631744141
113963866482303
121442361361691
136a16944191ca
142ddd3ca14845
15160ec3b49861
hexb0c5746648d

12147631744141 has 2 divisors, whose sum is σ = 12147631744142. Its totient is φ = 12147631744140.

The previous prime is 12147631744133. The next prime is 12147631744147. The reversal of 12147631744141 is 14144713674121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6607233766116 + 5540397978025 = 2570454^2 + 2353805^2 .

It is an emirp because it is prime and its reverse (14144713674121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12147631744141 - 23 = 12147631744133 is a prime.

It is a super-2 number, since 2×121476317441412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12147631744091 and 12147631744100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12147631744147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6073815872070 + 6073815872071.

It is an arithmetic number, because the mean of its divisors is an integer number (6073815872071).

Almost surely, 212147631744141 is an apocalyptic number.

It is an amenable number.

12147631744141 is a deficient number, since it is larger than the sum of its proper divisors (1).

12147631744141 is an equidigital number, since it uses as much as digits as its factorization.

12147631744141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 451584, while the sum is 46.

The spelling of 12147631744141 in words is "twelve trillion, one hundred forty-seven billion, six hundred thirty-one million, seven hundred forty-four thousand, one hundred forty-one".