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12099169164996 = 2232312187012
BaseRepresentation
bin1011000000010000111010…
…1011100001111011000100
31120211200001220100122200100
42300010032223201323010
53041213044301234441
641422140453244100
72356064456010354
oct260041653417304
946750056318610
1012099169164996
113945257629301
121434a97333630
13699c40041384
142db862568b64
1515ead9241cb6
hexb010eae1ec4

12099169164996 has 81 divisors (see below), whose sum is σ = 31604107105389. Its totient is φ = 3902749092000.

The previous prime is 12099169164949. The next prime is 12099169164997. The reversal of 12099169164996 is 69946196199021.

It is a happy number.

The square root of 12099169164996 is 3478386.

It is a perfect power (a square), and thus also a powerful number.

12099169164996 is a `hidden beast` number, since 1 + 20 + 99 + 16 + 9 + 16 + 499 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2077386046596 + 10021783118400 = 1441314^2 + 3165720^2 .

It is not an unprimeable number, because it can be changed into a prime (12099169164997) 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 26 ways as a sum of consecutive naturals, for example, 646970446 + ... + 646989146.

Almost surely, 212099169164996 is an apocalyptic number.

12099169164996 is the 3478386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12099169164996

12099169164996 is an abundant number, since it is smaller than the sum of its proper divisors (19504937940393).

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

12099169164996 is an frugal number, since it uses more digits than its factorization.

12099169164996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37474 (or 18737 counting only the distinct ones).

The product of its (nonzero) digits is 102036672, while the sum is 72.

The spelling of 12099169164996 in words is "twelve trillion, ninety-nine billion, one hundred sixty-nine million, one hundred sixty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 2883 3844 5766 8649 11532 17298 18701 34596 37402 56103 74804 112206 168309 224412 336618 579731 673236 1159462 1739193 2318924 3478386 5217579 6956772 10435158 17971661 20870316 35943322 53914983 71886644 107829966 161744949 215659932 323489898 349727401 646979796 699454802 1049182203 1398909604 2098364406 3147546609 4196728812 6295093218 10841549431 12590186436 21683098862 32524648293 43366197724 65049296586 97573944879 130098593172 195147889758 336088032361 390295779516 672176064722 1008264097083 1344352129444 2016528194166 3024792291249 4033056388332 6049584582498 12099169164996