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12001104411440 = 2451739292245951
BaseRepresentation
bin1010111010100011100110…
…0100001011101100110000
31120111021221121020000110212
42232220321210023230300
53033111230212131230
641305121541243252
72346023361240644
oct256507144135460
946437847200425
1012001104411440
113907704632531
121419a89703528
13690912456491
142d6bdc548c24
1515c299d78895
hexaea3990bb30

12001104411440 has 80 divisors (see below), whose sum is σ = 29551427873280. Its totient is φ = 4516910899200.

The previous prime is 12001104411433. The next prime is 12001104411469. The reversal of 12001104411440 is 4411440110021.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4220465 + ... + 6466415.

It is an arithmetic number, because the mean of its divisors is an integer number (369392848416).

Almost surely, 212001104411440 is an apocalyptic number.

12001104411440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001104411440 is an abundant number, since it is smaller than the sum of its proper divisors (17550323461840).

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

12001104411440 is a wasteful number, since it uses less digits than its factorization.

12001104411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249910 (or 2249904 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 12001104411440 its reverse (4411440110021), we get a palindrome (16412544521461).

The spelling of 12001104411440 in words is "twelve trillion, one billion, one hundred four million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 3929 7858 15716 19645 31432 39290 62864 66793 78580 133586 157160 267172 314320 333965 534344 667930 1068688 1335860 2245951 2671720 4491902 5343440 8983804 11229755 17967608 22459510 35935216 38181167 44919020 76362334 89838040 152724668 179676080 190905835 305449336 381811670 610898672 763623340 1527246680 3054493360 8824341479 17648682958 35297365916 44121707395 70594731832 88243414790 141189463664 150013805143 176486829580 300027610286 352973659160 600055220572 705947318320 750069025715 1200110441144 1500138051430 2400220882288 3000276102860 6000552205720 12001104411440