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12045403140012 = 223211227786717033
BaseRepresentation
bin1010111101001000100111…
…1110011010111110101100
31120122112021212002120222200
42233102021332122332230
53034322441200440022
641341325400541500
72352152214231054
oct257221176327654
946575255076880
1012045403140012
11392447705aa10
121426591181890
13694b51ca15c8
142d90019cc564
1515d4dde42bac
hexaf489f9afac

12045403140012 has 144 divisors (see below), whose sum is σ = 33368637923712. Its totient is φ = 3633367069440.

The previous prime is 12045403139993. The next prime is 12045403140019. The reversal of 12045403140012 is 21004130454021.

12045403140012 is a `hidden beast` number, since 1 + 204 + 5 + 40 + 3 + 1 + 400 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (12045403140019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707171848 + ... + 707188880.

It is an arithmetic number, because the mean of its divisors is an integer number (231726652248).

Almost surely, 212045403140012 is an apocalyptic number.

12045403140012 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 12045403140012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684318961856).

12045403140012 is an abundant number, since it is smaller than the sum of its proper divisors (21323234783700).

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

12045403140012 is a wasteful number, since it uses less digits than its factorization.

12045403140012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25148 (or 25143 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12045403140012 its reverse (21004130454021), we get a palindrome (33049533594033).

The spelling of 12045403140012 in words is "twelve trillion, forty-five billion, four hundred three million, one hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 227 396 454 681 908 1362 2043 2497 2724 4086 4994 7491 7867 8172 9988 14982 15734 17033 22473 23601 29964 31468 34066 44946 47202 51099 68132 70803 86537 89892 94404 102198 141606 153297 173074 187363 204396 259611 283212 306594 346148 374726 519222 562089 613188 749452 778833 1038444 1124178 1557666 1686267 1785809 2248356 3115332 3372534 3571618 3866491 5357427 6745068 7143236 7732982 10714854 11599473 15465964 16072281 19643899 21429708 23198946 32144562 34798419 39287798 42531401 46397892 58931697 64289124 69596838 78575596 85062802 117863394 127594203 133998611 139193676 170125604 176795091 235726788 255188406 267997222 353590182 382782609 401995833 510376812 535994444 707180364 765565218 803991666 1205987499 1473984721 1531130436 1607983332 2411974998 2947969442 4421954163 4823949996 5895938884 8843908326 13265862489 17687816652 26531724978 30417684697 53063449956 60835369394 91253054091 121670738788 182506108182 273759162273 334594531667 365012216364 547518324546 669189063334 1003783595001 1095036649092 1338378126668 2007567190002 3011350785003 4015134380004 6022701570006 12045403140012