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12721237621424 = 2423294492654833
BaseRepresentation
bin1011100100011110010011…
…0110010111101010110000
31200001010201220220110012122
42321013210312113222300
53131411043312341144
643020020023213412
72452036061441453
oct271074466275260
950033656813178
1012721237621424
114065056aa4842
1215155648a7268
137137b8a6b907
1431d9d56cd49a
15170d967117ee
hexb91e4d97ab0

12721237621424 has 80 divisors (see below), whose sum is σ = 26665152696000. Its totient is φ = 5861189419008.

The previous prime is 12721237621381. The next prime is 12721237621441. The reversal of 12721237621424 is 42412673212721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3464312 + ... + 6119144.

It is an arithmetic number, because the mean of its divisors is an integer number (333314408700).

Almost surely, 212721237621424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12721237621424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332576348000).

12721237621424 is an abundant number, since it is smaller than the sum of its proper divisors (13943915074576).

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

12721237621424 is a wasteful number, since it uses less digits than its factorization.

12721237621424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655342 (or 2655336 counting only the distinct ones).

The product of its digits is 451584, while the sum is 44.

The spelling of 12721237621424 in words is "twelve trillion, seven hundred twenty-one billion, two hundred thirty-seven million, six hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 449 464 667 898 1334 1796 2668 3592 5336 7184 10327 10672 13021 20654 26042 41308 52084 82616 104168 165232 208336 299483 598966 1197932 2395864 2654833 4791728 5309666 10619332 21238664 42477328 61061159 76990157 122122318 153980314 244244636 307960628 488489272 615921256 976978544 1192020017 1231842512 1770773611 2384040034 3541547222 4768080068 7083094444 9536160136 14166188888 19072320272 27416460391 28332377776 34568580493 54832920782 69137160986 109665841564 138274321972 219331683128 276548643944 438663366256 553097287888 795077351339 1590154702678 3180309405356 6360618810712 12721237621424