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12010111001000 = 235374339900701
BaseRepresentation
bin1010111011000101001001…
…1001100110000110101000
31120112011012021201011122222
42232301102121212012220
53033233201404013000
641313211355533212
72346462514055360
oct256612231460650
946464167634588
1012010111001000
113910506614582
12141b781a5a208
136917193a2c08
142d74147979a0
1515c625907a85
hexaec526661a8

12010111001000 has 128 divisors (see below), whose sum is σ = 32865410223360. Its totient is φ = 4021990560000.

The previous prime is 12010111000991. The next prime is 12010111001039. The reversal of 12010111001000 is 10011101021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 19649351 + ... + 20251350.

It is an arithmetic number, because the mean of its divisors is an integer number (256761017370).

Almost surely, 212010111001000 is an apocalyptic number.

12010111001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010111001000 is an abundant number, since it is smaller than the sum of its proper divisors (20855299222360).

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

12010111001000 is a wasteful number, since it uses less digits than its factorization.

12010111001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39900772 (or 39900758 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12010111001000 its reverse (10011101021), we get a palindrome (12020122102021).

The spelling of 12010111001000 in words is "twelve trillion, ten billion, one hundred eleven million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 125 140 172 175 200 215 250 280 301 344 350 430 500 602 700 860 875 1000 1075 1204 1400 1505 1720 1750 2150 2408 3010 3500 4300 5375 6020 7000 7525 8600 10750 12040 15050 21500 30100 37625 43000 60200 75250 150500 301000 39900701 79801402 159602804 199503505 279304907 319205608 399007010 558609814 798014020 997517525 1117219628 1396524535 1596028040 1715730143 1995035050 2234439256 2793049070 3431460286 3990070100 4987587625 5586098140 6862920572 6982622675 7980140200 8578650715 9975175250 11172196280 12010111001 13725841144 13965245350 17157301430 19950350500 24020222002 27930490700 34314602860 34913113375 39900701000 42893253575 48040444004 55860981400 60050555005 68629205720 69826226750 85786507150 96080888008 120101110010 139652453500 171573014300 214466267875 240202220020 279304907000 300252775025 343146028600 428932535750 480404440040 600505550050 857865071500 1201011100100 1501263875125 1715730143000 2402022200200 3002527750250 6005055500500 12010111001000