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12339561122340 = 2235349589281811
BaseRepresentation
bin1011001110010000011100…
…1010000100101000100100
31121200122120020020101001220
42303210013022010220210
53104132410121403330
642124414403220340
72412334553642064
oct263440712045044
947618506211056
1012339561122340
113a281a661a931
1214735a60776b0
136b680069970a
14309348cc73a4
15165ea87c3710
hexb3907284a24

12339561122340 has 48 divisors (see below), whose sum is σ = 34649770545600. Its totient is φ = 3281121118080.

The previous prime is 12339561122323. The next prime is 12339561122341. The reversal of 12339561122340 is 4322116593321.

It is a junction number, because it is equal to n+sod(n) for n = 12339561122292 and 12339561122301.

It is not an unprimeable number, because it can be changed into a prime (12339561122341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294619966 + ... + 294661845.

It is an arithmetic number, because the mean of its divisors is an integer number (721870219700).

Almost surely, 212339561122340 is an apocalyptic number.

12339561122340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12339561122340 is an abundant number, since it is smaller than the sum of its proper divisors (22310209423260).

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

12339561122340 is a wasteful number, since it uses less digits than its factorization.

12339561122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589282172 (or 589282170 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 12339561122340 in words is "twelve trillion, three hundred thirty-nine billion, five hundred sixty-one million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 349 698 1047 1396 1745 2094 3490 4188 5235 6980 10470 20940 589281811 1178563622 1767845433 2357127244 2946409055 3535690866 5892818110 7071381732 8839227165 11785636220 17678454330 35356908660 205659352039 411318704078 616978056117 822637408156 1028296760195 1233956112234 2056593520390 2467912224468 3084890280585 4113187040780 6169780561170 12339561122340