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12005220230340 = 2235568573519127
BaseRepresentation
bin1010111010110010111011…
…1000110010010011000100
31120111200120102212021120220
42232230232320302103010
53033143142334332330
641311042205424340
72346230356152651
oct256545670622304
946450512767526
1012005220230340
113909426932157
12141a837b6b0b0
1369111a06998c
142d70ad00ac28
1515c43b37a710
hexaeb2ee324c4

12005220230340 has 48 divisors (see below), whose sum is σ = 33615217410432. Its totient is φ = 3201334845696.

The previous prime is 12005220230323. The next prime is 12005220230357. The reversal of 12005220230340 is 4303202250021.

12005220230340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12005220230323) and next prime (12005220230357).

It is a self number, because there is not a number n which added to its sum of digits gives 12005220230340.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651857 + ... + 5170983.

It is an arithmetic number, because the mean of its divisors is an integer number (700317029384).

Almost surely, 212005220230340 is an apocalyptic number.

12005220230340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12005220230340 is an abundant number, since it is smaller than the sum of its proper divisors (21609997180092).

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

12005220230340 is a wasteful number, since it uses less digits than its factorization.

12005220230340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575996 (or 3575994 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 12005220230340 its reverse (4303202250021), we get a palindrome (16308422480361).

The spelling of 12005220230340 in words is "twelve trillion, five billion, two hundred twenty million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 56857 113714 170571 227428 284285 341142 568570 682284 852855 1137140 1705710 3411420 3519127 7038254 10557381 14076508 17595635 21114762 35191270 42229524 52786905 70382540 105573810 211147620 200087003839 400174007678 600261011517 800348015356 1000435019195 1200522023034 2000870038390 2401044046068 3001305057585 4001740076780 6002610115170 12005220230340