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12411220221441 = 326123397025573
BaseRepresentation
bin1011010010011011011001…
…0111110101111000000001
31121221111112021110210001100
42310212312113311320001
53111321134334041231
642221345202325013
72420452415144256
oct264466627657001
947844467423040
1012411220221441
113a55629289688
121485464659769
136c04b076c9c2
1430c9c5db942d
15167c9e8a91e6
hexb49b65f5e01

12411220221441 has 24 divisors (see below), whose sum is σ = 18299411358696. Its totient is φ = 8103575773440.

The previous prime is 12411220221391. The next prime is 12411220221457. The reversal of 12411220221441 is 14412202211421.

12411220221441 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 12 + 202 + 2 + 1 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199487289600 + 12211732931841 = 446640^2 + 3494529^2 .

It is not a de Polignac number, because 12411220221441 - 226 = 12411153112577 is a prime.

It is a super-2 number, since 2×124112202214412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12411220226441) 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 23 ways as a sum of consecutive naturals, for example, 48384870 + ... + 48640703.

It is an arithmetic number, because the mean of its divisors is an integer number (762475473279).

Almost surely, 212411220221441 is an apocalyptic number.

It is an amenable number.

12411220221441 is a deficient number, since it is larger than the sum of its proper divisors (5888191137255).

12411220221441 is a wasteful number, since it uses less digits than its factorization.

12411220221441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97025873 (or 97025870 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 12411220221441 its reverse (14412202211421), we get a palindrome (26823422432862).

The spelling of 12411220221441 in words is "twelve trillion, four hundred eleven billion, two hundred twenty million, two hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 61 183 233 549 699 2097 14213 42639 127917 97025573 291076719 873230157 5918559953 17755679859 22606958509 53267039577 67820875527 203462626581 1379024469049 4137073407147 12411220221441