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12171321013356 = 22324094909168391
BaseRepresentation
bin1011000100011101101101…
…0000111111010001101100
31121002120022021210022120100
42301013123100333101230
53043403331134411411
641515232213551100
72364230452420401
oct261073320772154
947076267708510
1012171321013356
11397291245194a
121446a72945490
136a399b22b37b
14301148c862a8
1516190d70c456
hexb11db43f46c

12171321013356 has 72 divisors (see below), whose sum is σ = 30848084103200. Its totient is φ = 4046338955520.

The previous prime is 12171321013331. The next prime is 12171321013433. The reversal of 12171321013356 is 65331012317121.

12171321013356 is a `hidden beast` number, since 1 + 2 + 171 + 32 + 101 + 3 + 356 = 666.

It is a super-2 number, since 2×121713210133562 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12171321013356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72195921 + ... + 72364311.

Almost surely, 212171321013356 is an apocalyptic number.

It is an amenable number.

12171321013356 is an abundant number, since it is smaller than the sum of its proper divisors (18676763089844).

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

12171321013356 is a wasteful number, since it uses less digits than its factorization.

12171321013356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173719 (or 173714 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12171321013356 in words is "twelve trillion, one hundred seventy-one billion, three hundred twenty-one million, thirteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 409 818 1227 1636 2454 3681 4908 4909 7362 9818 14724 14727 19636 29454 44181 58908 88362 168391 176724 336782 505173 673564 1010346 1515519 2007781 2020692 3031038 4015562 6023343 6062076 8031124 12046686 18070029 24093372 36140058 68871919 72280116 137743838 206615757 275487676 413231514 619847271 826463028 826631419 1239694542 1653262838 2479389084 2479894257 3306525676 4959788514 7439682771 9919577028 14879365542 29758731084 338092250371 676184500742 1014276751113 1352369001484 2028553502226 3042830253339 4057107004452 6085660506678 12171321013356