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12479410479921 = 3721124635412801
BaseRepresentation
bin1011010110011001011011…
…0101000010001100110001
31122012000112120110211021020
42311212112311002030301
53113430313040324141
642312543444250053
72425415265604500
oct265462665021461
948160476424236
1012479410479921
113a81540973100
1214967153a0929
136c6a59c96288
14312014500837
1516994118a266
hexb5996d42331

12479410479921 has 144 divisors (see below), whose sum is σ = 21368394157824. Its totient is φ = 6454546560000.

The previous prime is 12479410479901. The next prime is 12479410479971. The reversal of 12479410479921 is 12997401497421.

It is not a de Polignac number, because 12479410479921 - 26 = 12479410479857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12479410479901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4455339721 + ... + 4455342521.

It is an arithmetic number, because the mean of its divisors is an integer number (148391626096).

Almost surely, 212479410479921 is an apocalyptic number.

12479410479921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12479410479921 is a deficient number, since it is larger than the sum of its proper divisors (8888983677903).

12479410479921 is a wasteful number, since it uses less digits than its factorization.

12479410479921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 12479410479921 in words is "twelve trillion, four hundred seventy-nine billion, four hundred ten million, four hundred seventy-nine thousand, nine hundred twenty-one".

Divisors: 1 3 7 11 21 33 49 77 121 147 231 363 463 539 541 847 1389 1617 1623 2541 2801 3241 3787 5093 5929 5951 8403 9723 11361 15279 17787 17853 19607 22687 26509 30811 35651 41657 56023 58821 65461 68061 79527 92433 106953 124971 137249 168069 196383 215677 249557 250483 291599 338921 392161 411747 458227 647031 748671 751449 874797 1016763 1176483 1296863 1374681 1509739 1515341 1753381 2372447 2745127 2755313 3207589 3890589 4529217 4546023 5260143 7117341 8235381 8265939 9078041 9622767 10607387 12273667 14265493 16607129 16668751 19287191 27234123 30308443 31822161 36821001 42796479 49821387 50006253 57861573 63546287 74251709 90925329 99858451 116681257 135010337 156920423 183356261 190638861 212159101 222755127 299575353 350043771 405031011 470761269 550068783 636477303 699009157 701602883 816768799 1098442961 1283493827 1485113707 2097027471 2104808649 2450306397 3295328883 3850481481 4455341121 4911220181 7689100727 7717631713 8984456789 14733660543 23067302181 23152895139 26953370367 34378541267 54023421991 84893948843 103135623801 162070265973 254681846529 378163953937 594257641901 1134491861811 1782772925703 4159803493307 12479410479921