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12016331342040 = 23351721127916391
BaseRepresentation
bin1010111011011100010100…
…1010010100000011011000
31120112202020210101020102110
42232313011022110003120
53033333421310421130
641320120523232320
72350102615100424
oct256670512240330
946482223336373
1012016331342040
1139131088608a3
121420a190786a0
1369219acc869c
142d7844961b84
1515c88ba66ab0
hexaedc52940d8

12016331342040 has 128 divisors (see below), whose sum is σ = 38350422673920. Its totient is φ = 3001570252800.

The previous prime is 12016331342021. The next prime is 12016331342089. The reversal of 12016331342040 is 4024313361021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12016331341989 and 12016331342007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13527756 + ... + 14388635.

It is an arithmetic number, because the mean of its divisors is an integer number (299612677140).

Almost surely, 212016331342040 is an apocalyptic number.

12016331342040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12016331342040 is an abundant number, since it is smaller than the sum of its proper divisors (26334091331880).

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

12016331342040 is a wasteful number, since it uses less digits than its factorization.

12016331342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27916633 (or 27916629 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 12016331342040 in words is "twelve trillion, sixteen billion, three hundred thirty-one million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 211 255 340 408 422 510 633 680 844 1020 1055 1266 1688 2040 2110 2532 3165 3587 4220 5064 6330 7174 8440 10761 12660 14348 17935 21522 25320 28696 35870 43044 53805 71740 86088 107610 143480 215220 430440 27916391 55832782 83749173 111665564 139581955 167498346 223331128 279163910 334996692 418745865 474578647 558327820 669993384 837491730 949157294 1116655640 1423735941 1674983460 1898314588 2372893235 2847471882 3349966920 3796629176 4745786470 5694943764 5890358501 7118679705 9491572940 11389887528 11780717002 14237359410 17671075503 18983145880 23561434004 28474718820 29451792505 35342151006 47122868008 56949437640 58903585010 70684302012 88355377515 100136094517 117807170020 141368604024 176710755030 200272189034 235614340040 300408283551 353421510060 400544378068 500680472585 600816567102 706843020120 801088756136 1001360945170 1201633134204 1502041417755 2002721890340 2403266268408 3004082835510 4005443780680 6008165671020 12016331342040