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12173033136132 = 22331110246660889
BaseRepresentation
bin1011000100100100000101…
…0100001110000000000100
31121002201201121110011111000
42301021001110032000010
53043420332440324012
641520114134413300
72364321052263111
oct261110124160004
947081647404430
1012173033136132
113973610945050
121447270201230
136a3bb1b6077b
1430126c405908
151619adba7ddc
hexb124150e004

12173033136132 has 48 divisors (see below), whose sum is σ = 34428780590400. Its totient is φ = 3688797919680.

The previous prime is 12173033136097. The next prime is 12173033136149. The reversal of 12173033136132 is 23163133037121.

12173033136132 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 3 + 0 + 3 + 31 + 3 + 613 + 2 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 5123329257 + ... + 5123331632.

It is an arithmetic number, because the mean of its divisors is an integer number (717266262300).

Almost surely, 212173033136132 is an apocalyptic number.

12173033136132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12173033136132 is an abundant number, since it is smaller than the sum of its proper divisors (22255747454268).

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

12173033136132 is a wasteful number, since it uses less digits than its factorization.

12173033136132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246660913 (or 10246660905 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 12173033136132 in words is "twelve trillion, one hundred seventy-three billion, thirty-three million, one hundred thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 10246660889 20493321778 30739982667 40986643556 61479965334 92219948001 112713269779 122959930668 184439896002 225426539558 276659844003 338139809337 368879792004 450853079116 553319688006 676279618674 1014419428011 1106639376012 1352559237348 2028838856022 3043258284033 4057677712044 6086516568066 12173033136132