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12000165474000 = 2435311181820689
BaseRepresentation
bin1010111010100000000110…
…0110011010111011010000
31120111012112011110001110010
42232220001212122323100
53033102314330132000
641304444440434520
72345661200351004
oct256500146327320
946435464401403
1012000165474000
113907272625980
121419867178a40
136907c2a78ab2
142d6b4d974704
1515c242709d50
hexaea0199aed0

12000165474000 has 160 divisors (see below), whose sum is σ = 42205673128320. Its totient is φ = 2909131008000.

The previous prime is 12000165473987. The next prime is 12000165474029. The reversal of 12000165474000 is 47456100021.

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

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, 90844345 + ... + 90976344.

It is an arithmetic number, because the mean of its divisors is an integer number (263785457052).

Almost surely, 212000165474000 is an apocalyptic number.

12000165474000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000165474000 is an abundant number, since it is smaller than the sum of its proper divisors (30205507654320).

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

12000165474000 is a wasteful number, since it uses less digits than its factorization.

12000165474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181820726 (or 181820710 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 12000165474000 in words is "twelve trillion, one hundred sixty-five million, four hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 181820689 363641378 545462067 727282756 909103445 1090924134 1454565512 1818206890 2000027579 2181848268 2727310335 2909131024 3636413780 4000055158 4363696536 4545517225 5454620670 6000082737 7272827560 8000110316 8727393072 9091034450 10000137895 10909241340 12000165474 13636551675 14545655120 16000220632 18182068900 20000275790 21818482680 22727586125 24000330948 27273103350 30000413685 32000441264 36364137800 40000551580 43636965360 45455172250 48000661896 50000689475 54546206700 60000827370 68182758375 72728275600 80001103160 90910344500 96001323792 100001378950 109092413400 120001654740 136365516750 150002068425 160002206320 181820689000 200002757900 218184826800 240003309480 250003447375 272731033500 300004136850 363641378000 400005515800 480006618960 500006894750 545462067000 600008273700 750010342125 800011031600 1000013789500 1090924134000 1200016547400 1500020684250 2000027579000 2400033094800 3000041368500 4000055158000 6000082737000 12000165474000