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122330322331320 = 23354749169441127
BaseRepresentation
bin11011110100001000111111…
…011010000110011010111000
3121001010122221111100221110210
4123310020333122012122320
5112013230000004100240
61112101435123511120
734524034266162105
oct3364107732063270
9531118844327423
10122330322331320
1135a83aa88a1644
12118785295284a0
1353349138a110c
14222cb67c13aac
15e2215bd8b780
hex6f423f6866b8

122330322331320 has 128 divisors (see below), whose sum is σ = 374807757772800. Its totient is φ = 31926624823296.

The previous prime is 122330322331297. The next prime is 122330322331339. The reversal of 122330322331320 is 23133223033221.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 277092597 + ... + 277533723.

It is an arithmetic number, because the mean of its divisors is an integer number (2928185607600).

Almost surely, 2122330322331320 is an apocalyptic number.

122330322331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122330322331320 is an abundant number, since it is smaller than the sum of its proper divisors (252477435441480).

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

122330322331320 is a wasteful number, since it uses less digits than its factorization.

122330322331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490357 (or 490353 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 122330322331320 its reverse (23133223033221), we get a palindrome (145463545364541).

The spelling of 122330322331320 in words is "one hundred twenty-two trillion, three hundred thirty billion, three hundred twenty-two million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 49169 98338 147507 196676 245845 295014 393352 441127 491690 590028 737535 882254 983380 1180056 1323381 1475070 1764508 1966760 2205635 2310943 2646762 2950140 3529016 4411270 4621886 5293524 5900280 6616905 6932829 8822540 9243772 10587048 11554715 13233810 13865658 17645080 18487544 20732969 23109430 26467620 27731316 34664145 41465938 46218860 52935240 55462632 62198907 69328290 82931876 92437720 103664845 124397814 138656580 165863752 207329690 248795628 277313160 310994535 414659380 497591256 621989070 829318760 1243978140 2487956280 21689773463 43379546926 65069320389 86759093852 108448867315 130138640778 173518187704 216897734630 260277281556 325346601945 433795469260 520554563112 650693203890 867590938520 1019419352761 1301386407780 2038838705522 2602772815560 3058258058283 4077677411044 5097096763805 6116516116566 8155354822088 10194193527610 12233032233132 15291290291415 20388387055220 24466064466264 30582580582830 40776774110440 61165161165660 122330322331320