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12230312224240 = 24511431013200111
BaseRepresentation
bin1011000111111001011101…
…1010100110010111110000
31121022012120111011022210201
42301332113122212113300
53100340134412133430
642002310004204544
72401416352430065
oct261762732462760
947265514138721
1012230312224240
1139959344527a0
121456396999754
136a940c991a06
14303d43780c6c
151632125e48ca
hexb1f976a65f0

12230312224240 has 160 divisors (see below), whose sum is σ = 32056213128192. Its totient is φ = 4300947840000.

The previous prime is 12230312224237. The next prime is 12230312224267. The reversal of 12230312224240 is 4242221303221.

It is a junction number, because it is equal to n+sod(n) for n = 12230312224199 and 12230312224208.

It is a congruent number.

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, 2221785 + ... + 5421895.

Almost surely, 212230312224240 is an apocalyptic number.

12230312224240 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 12230312224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16028106564096).

12230312224240 is an abundant number, since it is smaller than the sum of its proper divisors (19825900903952).

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

12230312224240 is a wasteful number, since it uses less digits than its factorization.

12230312224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200279 (or 3200273 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12230312224240 its reverse (4242221303221), we get a palindrome (16472533527461).

The spelling of 12230312224240 in words is "twelve trillion, two hundred thirty billion, three hundred twelve million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 101 110 172 176 202 215 220 344 404 430 440 473 505 688 808 860 880 946 1010 1111 1616 1720 1892 2020 2222 2365 3440 3784 4040 4343 4444 4730 5555 7568 8080 8686 8888 9460 11110 17372 17776 18920 21715 22220 34744 37840 43430 44440 47773 69488 86860 88880 95546 173720 191092 238865 347440 382184 477730 764368 955460 1910920 3200111 3821840 6400222 12800444 16000555 25600888 32001110 35201221 51201776 64002220 70402442 128004440 137604773 140804884 176006105 256008880 275209546 281609768 323211211 352012210 550419092 563219536 646422422 688023865 704024420 1100838184 1292844844 1376047730 1408048840 1513652503 1616056055 2201676368 2585689688 2752095460 2816097680 3027305006 3232112110 3555323321 5171379376 5504190920 6054610012 6464224220 7110646642 7568262515 11008381840 12109220024 12928448440 13898082073 14221293284 15136525030 17776616605 24218440048 25856896880 27796164146 28442586568 30273050060 35553233210 55592328292 56885173136 60546100120 69490410365 71106466420 111184656584 121092200240 138980820730 142212932840 152878902803 222369313168 277961641460 284425865680 305757805606 555923282920 611515611212 764394514015 1111846565840 1223031222424 1528789028030 2446062444848 3057578056060 6115156112120 12230312224240