Search a number
-
+
12120200132211 = 334183509259159
BaseRepresentation
bin1011000001011111010000…
…1110010011011001110011
31120220200100120211111002000
42300113310032103121303
53042034132213212321
641435535412025043
72360440600202523
oct260276416233163
946820316744060
1012120200132211
11395316a002246
121438b86602183
1369bc121a9482
142dc89973d683
1516041a759826
hexb05f4393673

12120200132211 has 64 divisors (see below), whose sum is σ = 18652056192000. Its totient is φ = 7772749666560.

The previous prime is 12120200132189. The next prime is 12120200132263. The reversal of 12120200132211 is 11223100202121.

12120200132211 is a `hidden beast` number, since 1 + 2 + 120 + 200 + 132 + 211 = 666.

It is not a de Polignac number, because 12120200132211 - 210 = 12120200131187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12120200132311) 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 63 ways as a sum of consecutive naturals, for example, 46637850 + ... + 46897008.

It is an arithmetic number, because the mean of its divisors is an integer number (291438378000).

Almost surely, 212120200132211 is an apocalyptic number.

12120200132211 is a deficient number, since it is larger than the sum of its proper divisors (6531856059789).

12120200132211 is a wasteful number, since it uses less digits than its factorization.

12120200132211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259801 (or 259795 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12120200132211 its reverse (11223100202121), we get a palindrome (23343300334332).

The spelling of 12120200132211 in words is "twelve trillion, one hundred twenty billion, two hundred million, one hundred thirty-two thousand, two hundred eleven".

Divisors: 1 3 9 27 41 83 123 249 369 509 747 1107 1527 2241 3403 4581 10209 13743 20869 30627 42247 62607 91881 126741 187821 259159 380223 563463 777477 1140669 1732127 2332431 5196381 6997293 10625519 15589143 21510197 31876557 46767429 64530591 95629671 131911931 193591773 286889013 395735793 580775319 881918077 1187207379 2645754231 3561622137 5408389171 7937262693 10948690273 16225167513 23811788079 32846070819 48675502539 98538212457 146026507617 295614637371 448896301193 1346688903579 4040066710737 12120200132211