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12011303103312 = 2434742971239041
BaseRepresentation
bin1010111011001001100101…
…1101000110101101010000
31120112021021100212020121110
42232302121131012231100
53033243122043301222
641313525542453320
72346534200551332
oct256623135065520
946467240766543
1012011303103312
113910a685166a7
12141ba55134240
136918793606b6
142d74c8c2d452
1515c6953d330c
hexaec99746b50

12011303103312 has 80 divisors (see below), whose sum is σ = 31696795775232. Its totient is φ = 3917666058240.

The previous prime is 12011303103269. The next prime is 12011303103337. The reversal of 12011303103312 is 21330130311021.

It is a happy number.

12011303103312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9074512 + ... + 10313552.

Almost surely, 212011303103312 is an apocalyptic number.

12011303103312 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 12011303103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15848397887616).

12011303103312 is an abundant number, since it is smaller than the sum of its proper divisors (19685492671920).

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

12011303103312 is a wasteful number, since it uses less digits than its factorization.

12011303103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243396 (or 1243390 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12011303103312 its reverse (21330130311021), we get a palindrome (33341433414333).

The spelling of 12011303103312 in words is "twelve trillion, eleven billion, three hundred three million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 4297 8594 12891 17188 25782 34376 51564 68752 103128 201959 206256 403918 605877 807836 1211754 1239041 1615672 2423508 2478082 3231344 3717123 4847016 4956164 7434246 9694032 9912328 14868492 19824656 29736984 58234927 59473968 116469854 174704781 232939708 349409562 465879416 698819124 931758832 1397638248 2795276496 5324159177 10648318354 15972477531 21296636708 31944955062 42593273416 63889910124 85186546832 127779820248 250235481319 255559640496 500470962638 750706443957 1000941925276 1501412887914 2001883850552 3002825775828 4003767701104 6005651551656 12011303103312