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12007371731472 = 2433132138064767
BaseRepresentation
bin1010111010111010111100…
…1000000111001000010000
31120111220010101021212022000
42232232233020013020100
53033212044130401342
641312035503514000
72346334602466005
oct256565710071020
946456111255260
1012007371731472
11390a330346867
12141b1385b8900
136913a0a1a280
142d7234a618ac
1515c5151b744c
hexaebaf207210

12007371731472 has 80 divisors (see below), whose sum is σ = 37116804372480. Its totient is φ = 3694575915648.

The previous prime is 12007371731461. The next prime is 12007371731483. The reversal of 12007371731472 is 27413717370021.

12007371731472 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 3 + 7 + 173 + 1 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (12007371731461) and next prime (12007371731483).

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, 1069026768 + ... + 1069037999.

It is an arithmetic number, because the mean of its divisors is an integer number (463960054656).

Almost surely, 212007371731472 is an apocalyptic number.

12007371731472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12007371731472 is an abundant number, since it is smaller than the sum of its proper divisors (25109432641008).

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

12007371731472 is a wasteful number, since it uses less digits than its factorization.

12007371731472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138064797 (or 2138064785 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 12007371731472 in words is "twelve trillion, seven billion, three hundred seventy-one million, seven hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 2138064767 4276129534 6414194301 8552259068 12828388602 17104518136 19242582903 25656777204 27794841971 34209036272 38485165806 51313554408 55589683942 57727748709 76970331612 83384525913 102627108816 111179367884 115455497418 153940663224 166769051826 222358735768 230910994836 250153577739 307881326448 333538103652 444717471536 461821989672 500307155478 667076207304 750460733217 923643979344 1000614310956 1334152414608 1500921466434 2001228621912 3001842932868 4002457243824 6003685865736 12007371731472