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12004322001024 = 273124792505109
BaseRepresentation
bin1010111010101111100101…
…0110010100000010000000
31120111121020211200111121110
42232223321112110002000
53033134322413013044
641310413121323320
72346166201300413
oct256537126240200
946447224614543
1012004322001024
1139090058aa181
12141a627196540
13691005c43242
142d70259d1b7a
1515c3d759d6b9
hexaeaf9594080

12004322001024 has 64 divisors (see below), whose sum is σ = 31889048256000. Its totient is φ = 4001118415872.

The previous prime is 12004322001019. The next prime is 12004322001047. The reversal of 12004322001024 is 42010022340021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×120043220010243 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3539382 + ... + 6044490.

It is an arithmetic number, because the mean of its divisors is an integer number (498266379000).

Almost surely, 212004322001024 is an apocalyptic number.

It is an amenable number.

12004322001024 is an abundant number, since it is smaller than the sum of its proper divisors (19884726254976).

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

12004322001024 is a wasteful number, since it uses less digits than its factorization.

12004322001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517605 (or 2517593 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12004322001024 its reverse (42010022340021), we get a palindrome (54014344341045).

The spelling of 12004322001024 in words is "twelve trillion, four billion, three hundred twenty-two million, one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 12479 24958 37437 49916 74874 99832 149748 199664 299496 399328 598992 798656 1197984 1597312 2395968 2505109 4791936 5010218 7515327 10020436 15030654 20040872 30061308 40081744 60122616 80163488 120245232 160326976 240490464 320653952 480980928 961961856 31261255211 62522510422 93783765633 125045020844 187567531266 250090041688 375135062532 500180083376 750270125064 1000360166752 1500540250128 2000720333504 3001080500256 4001440667008 6002161000512 12004322001024