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12205473154128 = 243390731150397
BaseRepresentation
bin1011000110011100111011…
…1001000100010001010000
31121012211110102001211022000
42301213032321010101100
53044433302111413003
641543041132514000
72366550001010052
oct261471671042120
947184412054260
1012205473154128
113986348443781
12145160431b900
136a6c818b32a7
14302a689298d2
1516275bb101a3
hexb19cee44450

12205473154128 has 80 divisors (see below), whose sum is σ = 35072856116160. Its totient is φ = 4064005263744.

The previous prime is 12205473154123. The next prime is 12205473154201. The reversal of 12205473154128 is 82145137450221.

It is a happy number.

12205473154128 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 5 + 473 + 1 + 54 + 128 = 666.

It is a super-2 number, since 2×122054731541282 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205473154123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15183375 + ... + 15967022.

It is an arithmetic number, because the mean of its divisors is an integer number (438410701452).

Almost surely, 212205473154128 is an apocalyptic number.

12205473154128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12205473154128 is an abundant number, since it is smaller than the sum of its proper divisors (22867382962032).

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

12205473154128 is a wasteful number, since it uses less digits than its factorization.

12205473154128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31151321 (or 31151309 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 12205473154128 in words is "twelve trillion, two hundred five billion, four hundred seventy-three million, one hundred fifty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 907 1814 2721 3628 5442 7256 8163 10884 14512 16326 21768 24489 32652 43536 48978 65304 97956 130608 195912 391824 31150397 62300794 93451191 124601588 186902382 249203176 280353573 373804764 498406352 560707146 747609528 841060719 1121414292 1495219056 1682121438 2242828584 3364242876 4485657168 6728485752 13456971504 28253410079 56506820158 84760230237 113013640316 169520460474 226027280632 254280690711 339040920948 452054561264 508561381422 678081841896 762842072133 1017122762844 1356163683792 1525684144266 2034245525688 3051368288532 4068491051376 6102736577064 12205473154128