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12114133224401 = 1319596113627417
BaseRepresentation
bin1011000001001000101010…
…0110111000101111010001
31120220002200202212122010202
42300102022212320233101
53041434221101140101
641433053405104545
72360134341266615
oct260221246705721
946802622778122
1012114133224401
11395063643264a
121437972858155
1369b4862b54b0
142dc481ab5345
151601b2d0736b
hexb048a9b8bd1

12114133224401 has 32 divisors (see below), whose sum is σ = 14194318588800. Its totient is φ = 10243456058880.

The previous prime is 12114133224377. The next prime is 12114133224497. The reversal of 12114133224401 is 10442233141121.

It is a cyclic number.

It is not a de Polignac number, because 12114133224401 - 230 = 12113059482577 is a prime.

It is a super-3 number, since 3×121141332244013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12114133274401) 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, 5924756 + ... + 7702661.

It is an arithmetic number, because the mean of its divisors is an integer number (443572455900).

Almost surely, 212114133224401 is an apocalyptic number.

It is an amenable number.

12114133224401 is a deficient number, since it is larger than the sum of its proper divisors (2080185364399).

12114133224401 is a wasteful number, since it uses less digits than its factorization.

12114133224401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13627569.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 12114133224401 its reverse (10442233141121), we get a palindrome (22556366365522).

The spelling of 12114133224401 in words is "twelve trillion, one hundred fourteen billion, one hundred thirty-three million, two hundred twenty-four thousand, four hundred one".

Divisors: 1 13 19 59 61 247 767 793 1121 1159 3599 14573 15067 46787 68381 888953 13627417 177156421 258920923 804017603 831272437 3365971999 10452228839 10806541681 15276334457 15794176303 49045073783 198592347941 205324291939 637585959179 931856401877 12114133224401