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12243133134221 = 1117611213884831
BaseRepresentation
bin1011001000101001001110…
…0110011111010110001101
31121100102122222222000221112
42302022103212133112031
53101042414040243341
642012230120541405
72402352152366303
oct262122346372615
947312588860845
1012243133134221
1139a0313527170
121458974621865
136aa6a3c1aa92
143047dc40c273
15163712e6caeb
hexb229399f58d

12243133134221 has 32 divisors (see below), whose sum is σ = 14385499554816. Its totient is φ = 10295174016000.

The previous prime is 12243133134191. The next prime is 12243133134259.

12243133134221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12243133134221 - 214 = 12243133117837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12243133139221) 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 31 ways as a sum of consecutive naturals, for example, 13394276 + ... + 14279106.

It is an arithmetic number, because the mean of its divisors is an integer number (449546861088).

Almost surely, 212243133134221 is an apocalyptic number.

12243133134221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12243133134221 is a deficient number, since it is larger than the sum of its proper divisors (2142366420595).

12243133134221 is a wasteful number, since it uses less digits than its factorization.

12243133134221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886133.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 1224313 and 3134221, that added together give a palindrome (4358534).

The spelling of 12243133134221 in words is "twelve trillion, two hundred forty-three billion, one hundred thirty-three million, one hundred thirty-four thousand, two hundred twenty-one".

Divisors: 1 11 17 61 187 671 1037 1213 11407 13343 20621 73993 226831 813923 884831 1257881 9733141 13836691 15042127 53974691 165463397 593721601 917569747 1073300003 10093267217 11806300033 18246100051 65471300183 200707100561 720184302013 1113012103111 12243133134221