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12221076317328 = 2432252911335567
BaseRepresentation
bin1011000111010111000011…
…1010011010010010010000
31121021022201211011122100100
42301311300322122102100
53100212231014123303
641554141314452400
72400641443501554
oct261656072322220
947238654148310
1012221076317328
113991a24a8417a
121454639894100
136a859a394938
14303708cbb864
15162d718698a3
hexb1d70e9a490

12221076317328 has 60 divisors (see below), whose sum is σ = 34202277128448. Its totient is φ = 4073663858880.

The previous prime is 12221076317293. The next prime is 12221076317347. The reversal of 12221076317328 is 82371367012221.

12221076317328 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 0 + 7 + 6 + 317 + 328 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36251401 + ... + 36586967.

Almost surely, 212221076317328 is an apocalyptic number.

12221076317328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12221076317328 is an abundant number, since it is smaller than the sum of its proper divisors (21981200811120).

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

12221076317328 is a wasteful number, since it uses less digits than its factorization.

12221076317328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588492 (or 588483 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12221076317328 in words is "twelve trillion, two hundred twenty-one billion, seventy-six million, three hundred seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 252911 335567 505822 671134 758733 1006701 1011644 1342268 1517466 2013402 2023288 2276199 2684536 3020103 3034932 4026804 4046576 4552398 5369072 6040206 6069864 8053608 9104796 12080412 12139728 16107216 18209592 24160824 36419184 48321648 84868585537 169737171074 254605756611 339474342148 509211513222 678948684296 763817269833 1018423026444 1357897368592 1527634539666 2036846052888 3055269079332 4073692105776 6110538158664 12221076317328