Search a number
-
+
12123012200013 = 3211139419589899
BaseRepresentation
bin1011000001101001101111…
…0101011111011001001101
31120220221121120020022220100
42300122123311133121031
53042110412110400023
641441122424241313
72360600354322111
oct260323365373115
946827546208810
1012123012200013
113954382382420
121439630310239
1369c26c970510
142dca84dc5741
15160532579c43
hexb069bd5f64d

12123012200013 has 24 divisors (see below), whose sum is σ = 20572384341600. Its totient is φ = 6782104726560.

The previous prime is 12123012200003. The next prime is 12123012200029. The reversal of 12123012200013 is 31000221032121.

It is not a de Polignac number, because 12123012200013 - 214 = 12123012183629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123012200003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4709793663 + ... + 4709796236.

It is an arithmetic number, because the mean of its divisors is an integer number (857182680900).

Almost surely, 212123012200013 is an apocalyptic number.

12123012200013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12123012200013 is a deficient number, since it is larger than the sum of its proper divisors (8449372141587).

12123012200013 is a wasteful number, since it uses less digits than its factorization.

12123012200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419589929 (or 9419589926 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12123012200013 its reverse (31000221032121), we get a palindrome (43123233232134).

The spelling of 12123012200013 in words is "twelve trillion, one hundred twenty-three billion, twelve million, two hundred thousand, thirteen".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 9419589899 28258769697 84776309091 103615488889 122454668687 310846466667 367364006061 932539400001 1102092018183 1347001355557 4041004066671 12123012200013