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12230321331195 = 32511210920606939
BaseRepresentation
bin1011000111111001011111…
…1101010101101111111011
31121022012121010022000012100
42301332113331111233323
53100340144230044240
642002310531314443
72401416523020012
oct261762775255773
947265533260170
1012230321331195
113995939602a00
121456399a4ba23
136a941182cc46
14303d44a71a79
151632132e2e30
hexb1f97f55bfb

12230321331195 has 72 divisors (see below), whose sum is σ = 23515403511600. Its totient is φ = 5875450162560.

The previous prime is 12230321331139. The next prime is 12230321331199. The reversal of 12230321331195 is 59113312303221.

12230321331195 is a `hidden beast` number, since 1 + 2 + 2 + 303 + 2 + 1 + 331 + 19 + 5 = 666.

It is not a de Polignac number, because 12230321331195 - 224 = 12230304553979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12230321331199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9709965 + ... + 10896974.

It is an arithmetic number, because the mean of its divisors is an integer number (326602826550).

Almost surely, 212230321331195 is an apocalyptic number.

12230321331195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12230321331195 is a deficient number, since it is larger than the sum of its proper divisors (11285082180405).

12230321331195 is a wasteful number, since it uses less digits than its factorization.

12230321331195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20607081 (or 20607067 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 12230321331195 in words is "twelve trillion, two hundred thirty billion, three hundred twenty-one million, three hundred thirty-one thousand, one hundred ninety-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 109 121 165 327 363 495 545 605 981 1089 1199 1635 1815 3597 4905 5445 5995 10791 13189 17985 39567 53955 65945 118701 197835 593505 20606939 61820817 103034695 185462451 226676329 309104085 680028987 927312255 1133381645 2040086961 2246156351 2493439619 3400144935 6738469053 7480318857 10200434805 11230781755 12467198095 20215407159 22440956571 24707719861 33692345265 37401594285 74123159583 101077035795 112204782855 123538599305 222369478749 271784918471 370615797915 815354755413 1111847393745 1358924592355 2446064266239 4076773777065 12230321331195