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12072277027140 = 22351127277670577
BaseRepresentation
bin1010111110101100101111…
…0010001010100101000100
31120202002122202001111200120
42233223023302022211010
53040243010404332030
641401532201341540
72354123164423161
oct257531362124504
946662582044616
1012072277027140
113934907727090
12142b8311978b0
136975457c7a75
142da430ba3068
1515e0633b6010
hexafacbc8a944

12072277027140 has 96 divisors (see below), whose sum is σ = 36876725794944. Its totient is φ = 2926500956160.

The previous prime is 12072277027127. The next prime is 12072277027157. The reversal of 12072277027140 is 4172077227021.

It is a happy number.

12072277027140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12072277027092 and 12072277027101.

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, 17667532 + ... + 18338108.

It is an arithmetic number, because the mean of its divisors is an integer number (384132560364).

Almost surely, 212072277027140 is an apocalyptic number.

12072277027140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12072277027140 is an abundant number, since it is smaller than the sum of its proper divisors (24804448767804).

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

12072277027140 is a wasteful number, since it uses less digits than its factorization.

12072277027140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697877 (or 697875 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 42.

The spelling of 12072277027140 in words is "twelve trillion, seventy-two billion, two hundred seventy-seven million, twenty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 27277 54554 81831 109108 136385 163662 272770 300047 327324 409155 545540 600094 670577 818310 900141 1200188 1341154 1500235 1636620 1800282 2011731 2682308 3000470 3352885 3600564 4023462 4500705 6000940 6705770 7376347 8046924 9001410 10058655 13411540 14752694 18002820 20117310 22129041 29505388 36881735 40234620 44258082 73763470 88516164 110645205 147526940 221290410 442580820 18291328829 36582657658 54873986487 73165315316 91456644145 109747972974 182913288290 201204617119 219495945948 274369932435 365826576580 402409234238 548739864870 603613851357 804818468476 1006023085595 1097479729740 1207227702714 2012046171190 2414455405428 3018069256785 4024092342380 6036138513570 12072277027140