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12166653312 = 273211960121
BaseRepresentation
bin10110101010011000…
…00110010110000000
31011101220201000201100
423111030012112000
5144404130401222
65331141334400
7610333563312
oct132514062600
934356630640
1012166653312
115183838790
122436707400
1311bb844758
14835bdd7b2
154b31de4ac
hex2d5306580

12166653312 has 96 divisors (see below), whose sum is σ = 38193653160. Its totient is φ = 3686860800.

The previous prime is 12166653293. The next prime is 12166653383. The reversal of 12166653312 is 21335666121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467389 + ... + 492732.

Almost surely, 212166653312 is an apocalyptic number.

12166653312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12166653312 is an abundant number, since it is smaller than the sum of its proper divisors (26026999848).

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

12166653312 is a wasteful number, since it uses less digits than its factorization.

12166653312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960152 (or 960137 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 12166653312 in words is "twelve billion, one hundred sixty-six million, six hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 960121 1920242 2880363 3840484 5760726 7680968 8641089 10561331 11521452 15361936 17282178 21122662 23042904 30723872 31683993 34564356 42245324 46085808 61447744 63367986 69128712 84490648 92171616 95051979 122895488 126735972 138257424 168981296 184343232 190103958 253471944 276514848 337962592 368686464 380207916 506943888 553029696 675925184 760415832 1013887776 1106059392 1351850368 1520831664 2027775552 3041663328 4055551104 6083326656 12166653312