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12320133001320 = 2335176039280883
BaseRepresentation
bin1011001101001000000100…
…1001101011000001101000
31121121210102020210120022010
42303102001021223001220
53103323113022020240
642111442503155520
72411046244432614
oct263220111530150
947553366716263
1012320133001320
113a1aa36991a71
12146b883745ba0
136b4a25622a11
14308424948344
1516571cd6d280
hexb348126b068

12320133001320 has 64 divisors (see below), whose sum is σ = 39134540128320. Its totient is φ = 3092111811584.

The previous prime is 12320133001289. The next prime is 12320133001331. The reversal of 12320133001320 is 2310033102321.

It is a super-2 number, since 2×123201330013202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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, 3019638402 + ... + 3019642481.

It is an arithmetic number, because the mean of its divisors is an integer number (611477189505).

Almost surely, 212320133001320 is an apocalyptic number.

12320133001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320133001320 is an abundant number, since it is smaller than the sum of its proper divisors (26814407127000).

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

12320133001320 is a wasteful number, since it uses less digits than its factorization.

12320133001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039280914 (or 6039280910 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12320133001320 its reverse (2310033102321), we get a palindrome (14630166103641).

The spelling of 12320133001320 in words is "twelve trillion, three hundred twenty billion, one hundred thirty-three million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 6039280883 12078561766 18117842649 24157123532 30196404415 36235685298 48314247064 60392808830 72471370596 90589213245 102667775011 120785617660 144942741192 181178426490 205335550022 241571235320 308003325033 362356852980 410671100044 513338875055 616006650066 724713705960 821342200088 1026677750110 1232013300132 1540016625165 2053355500220 2464026600264 3080033250330 4106711000440 6160066500660 12320133001320