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12064154447312 = 2411711979487843
BaseRepresentation
bin1010111110001110011110…
…1000111110110111010000
31120201022200122222200212122
42233203213220332313100
53040124342014303222
641354110202313412
72353414664555342
oct257434750766720
946638618880778
1012064154447312
1139314197456a0
12142a144ab8868
1369684ca66706
142d9ca010b292
1515dc3a255a42
hexaf8e7a3edd0

12064154447312 has 80 divisors (see below), whose sum is σ = 25871499118080. Its totient is φ = 5403728265600.

The previous prime is 12064154447299. The next prime is 12064154447363. The reversal of 12064154447312 is 21374445146021.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 24485663 + ... + 24973505.

It is an arithmetic number, because the mean of its divisors is an integer number (323393738976).

Almost surely, 212064154447312 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 12064154447312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12935749559040).

12064154447312 is an abundant number, since it is smaller than the sum of its proper divisors (13807344670768).

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

12064154447312 is a wasteful number, since it uses less digits than its factorization.

12064154447312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489912 (or 489906 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 12064154447312 in words is "twelve trillion, sixty-four billion, one hundred fifty-four million, four hundred forty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 1979 3124 3958 6248 7916 12496 15832 21769 31664 43538 87076 140509 174152 281018 348304 487843 562036 975686 1124072 1545599 1951372 2248144 3091198 3902744 5366273 6182396 7805488 10732546 12364792 21465092 24729584 34636853 42930184 69273706 85860368 138547412 277094824 381005383 554189648 762010766 965441297 1524021532 1930882594 3048043064 3861765188 6096086128 7723530376 10619854267 15447060752 21239708534 42479417068 68546332087 84958834136 137092664174 169917668272 274185328348 548370656696 754009652957 1096741313392 1508019305914 3016038611828 6032077223656 12064154447312