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121017319488 = 2633135387167
BaseRepresentation
bin111000010110100110…
…0011100000001000000
3102120100220102210111000
41300231030130001000
53440320413210423
6131332233052000
711512631146302
oct1605514340100
9376326383430
10121017319488
114736113832a
121b554557000
13b547ba9870
145c004c1972
153234458843
hex1c2d31c040

121017319488 has 112 divisors (see below), whose sum is σ = 383135388160. Its totient is φ = 37236091392.

The previous prime is 121017319441. The next prime is 121017319513. The reversal of 121017319488 is 884913710121.

It is a happy number.

121017319488 is a `hidden beast` number, since 1 + 210 + 173 + 194 + 88 = 666.

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, 2671120 + ... + 2716047.

It is an arithmetic number, because the mean of its divisors is an integer number (3420851680).

Almost surely, 2121017319488 is an apocalyptic number.

121017319488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121017319488 is an abundant number, since it is smaller than the sum of its proper divisors (262118068672).

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

121017319488 is a wasteful number, since it uses less digits than its factorization.

121017319488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5387201 (or 5387185 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 121017319488 in words is "one hundred twenty-one billion, seventeen million, three hundred nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 5387167 10774334 16161501 21548668 32323002 43097336 48484503 64646004 70033171 86194672 96969006 129292008 140066342 145453509 172389344 193938012 210099513 258584016 280132684 290907018 344778688 387876024 420199026 517168032 560265368 581814036 630298539 775752048 840398052 1034336064 1120530736 1163628072 1260597078 1551504096 1680796104 1890895617 2241061472 2327256144 2521194156 3103008192 3361592208 3781791234 4482122944 4654512288 5042388312 6723184416 7563582468 9309024576 10084776624 13446368832 15127164936 20169553248 30254329872 40339106496 60508659744 121017319488