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12115040311512 = 23321311889679969
BaseRepresentation
bin1011000001001100000010…
…1011001001100011011000
31120220012000222201102201200
42300103000223021203120
53041443100304432022
641433323411114200
72360165664353505
oct260230053114330
946805028642650
1012115040311512
113950a61465616
121437b865a2960
1369b59c1c0928
142dc52a3584ac
15160217783bac
hexb04c0ac98d8

12115040311512 has 96 divisors (see below), whose sum is σ = 33079588542000. Its totient is φ = 4005392302080.

The previous prime is 12115040311501. The next prime is 12115040311559. The reversal of 12115040311512 is 21511304051121.

12115040311512 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 504 + 0 + 3 + 1 + 151 + 2 = 666.

It is a super-2 number, since 2×121150403115122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17477064 + ... + 18157032.

Almost surely, 212115040311512 is an apocalyptic number.

12115040311512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12115040311512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539794271000).

12115040311512 is an abundant number, since it is smaller than the sum of its proper divisors (20964548230488).

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

12115040311512 is a wasteful number, since it uses less digits than its factorization.

12115040311512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682001 (or 681994 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 12115040311512 its reverse (21511304051121), we get a palindrome (33626344362633).

The spelling of 12115040311512 in words is "twelve trillion, one hundred fifteen billion, forty million, three hundred eleven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 1889 2358 3144 3778 4716 5667 7556 9432 11334 15112 17001 22668 34002 45336 68004 136008 247459 494918 679969 742377 989836 1359938 1484754 1979672 2039907 2227131 2719876 2969508 4079814 4454262 5439752 5939016 6119721 8159628 8908524 12239442 16319256 17817048 24478884 48957768 89075939 178151878 267227817 356303756 534455634 712607512 801683451 1068911268 1284461441 1603366902 2137822536 2568922882 3206733804 3853384323 5137845764 6413467608 7706768646 10275691528 11560152969 15413537292 23120305938 30827074584 46240611876 92481223752 168264448771 336528897542 504793346313 673057795084 1009586692626 1346115590168 1514380038939 2019173385252 3028760077878 4038346770504 6057520155756 12115040311512