Search a number
-
+
12123213530140 = 2257156691505993
BaseRepresentation
bin1011000001101010011111…
…0101100000010000011100
31120220222010121001221220201
42300122213311200100130
53042111320130431030
641441154415353244
72360605350516316
oct260324765402034
946828117057821
1012123213530140
113954475a93759
121439687822824
1369c2a25a207b
142dcaa3a327b6
151605450982ca
hexb06a7d6041c

12123213530140 has 48 divisors (see below), whose sum is σ = 25821893603520. Its totient is φ = 4780139087360.

The previous prime is 12123213530119. The next prime is 12123213530159. The reversal of 12123213530140 is 4103531232121.

It is a junction number, because it is equal to n+sod(n) for n = 12123213530099 and 12123213530108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7296984 + ... + 8802976.

It is an arithmetic number, because the mean of its divisors is an integer number (537956116740).

Almost surely, 212123213530140 is an apocalyptic number.

12123213530140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123213530140 is an abundant number, since it is smaller than the sum of its proper divisors (13698680073380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12123213530140 is a wasteful number, since it uses less digits than its factorization.

12123213530140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511742 (or 1511740 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 12123213530140 its reverse (4103531232121), we get a palindrome (16226744762261).

The spelling of 12123213530140 in words is "twelve trillion, one hundred twenty-three billion, two hundred thirteen million, five hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 5669 11338 22676 28345 56690 113380 402499 804998 1505993 1609996 2012495 3011986 4024990 6023972 7529965 8049980 15059930 30119860 106925503 213851006 427702012 534627515 1069255030 2138510060 8537474317 17074948634 34149897268 42687371585 85374743170 170749486340 606160676507 1212321353014 2424642706028 3030803382535 6061606765070 12123213530140