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12230442322340 = 225111012269724251
BaseRepresentation
bin1011000111111001111100…
…1010111000100110100100
31121022012220112221222211212
42301332133022320212210
53100340421213303330
642002330532450552
72401422522306614
oct261763712704644
947265815858755
1012230442322340
1139959a0931390
121456412479a58
136a9430913038
14303d56b68a44
1516321dc42295
hexb1f9f2b89a4

12230442322340 has 96 divisors (see below), whose sum is σ = 28298659229568. Its totient is φ = 4403024000000.

The previous prime is 12230442322333. The next prime is 12230442322379. The reversal of 12230442322340 is 4322324403221.

It is a junction number, because it is equal to n+sod(n) for n = 12230442322297 and 12230442322306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504315215 + ... + 504339465.

It is an arithmetic number, because the mean of its divisors is an integer number (294777700308).

Almost surely, 212230442322340 is an apocalyptic number.

12230442322340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230442322340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149329614784).

12230442322340 is an abundant number, since it is smaller than the sum of its proper divisors (16068216907228).

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

12230442322340 is a wasteful number, since it uses less digits than its factorization.

12230442322340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47069 (or 47067 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 12230442322340 its reverse (4322324403221), we get a palindrome (16552766725561).

The spelling of 12230442322340 in words is "twelve trillion, two hundred thirty billion, four hundred forty-two million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 22697 24251 45394 48502 90788 97004 113485 121255 226970 242510 249667 266761 453940 485020 499334 533522 998668 1067044 1248335 1333805 2292397 2449351 2496670 2667610 4584794 4898702 4993340 5335220 9169588 9797404 11461985 12246755 22923970 24493510 25216367 26942861 45847940 48987020 50432734 53885722 100865468 107771444 126081835 134714305 252163670 269428610 504327340 538857220 550424947 1100849894 2201699788 2752124735 5504249470 6054674417 11008498940 12109348834 24218697668 30273372085 55592919647 60546744170 111185839294 121093488340 222371678588 277964598235 555929196470 611522116117 1111858392940 1223044232234 2446088464468 3057610580585 6115221161170 12230442322340