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12131332312201 = 29421993638489
BaseRepresentation
bin1011000010001000101111…
…0000001100110010001001
31120221202002101222211011121
42300202023300030302021
53042224432032442301
641445020201155241
72361313503156004
oct260421360146211
946852071884147
1012131332312201
1139579619108a3
12143b17278bb21
1369cc9760391b
142dd233dba53b
1516086cc083a1
hexb088bc0cc89

12131332312201 has 8 divisors (see below), whose sum is σ = 12579463283400. Its totient is φ = 11685188618880.

The previous prime is 12131332312163. The next prime is 12131332312357. The reversal of 12131332312201 is 10221323313121.

It can be written as a sum of positive squares in 4 ways, for example, as 81825174601 + 12049507137600 = 286051^2 + 3471240^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12131332312201 - 213 = 12131332304009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12131332352201) 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 7 ways as a sum of consecutive naturals, for example, 496807036 + ... + 496831453.

It is an arithmetic number, because the mean of its divisors is an integer number (1572432910425).

Almost surely, 212131332312201 is an apocalyptic number.

It is an amenable number.

12131332312201 is a deficient number, since it is larger than the sum of its proper divisors (448130971199).

12131332312201 is an equidigital number, since it uses as much as digits as its factorization.

12131332312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993638939.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12131332312201 its reverse (10221323313121), we get a palindrome (22352655625322).

The spelling of 12131332312201 in words is "twelve trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred twelve thousand, two hundred one".

Divisors: 1 29 421 12209 993638489 28815516181 418321803869 12131332312201