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12010012000020 = 22335214931034791
BaseRepresentation
bin1010111011000100110001…
…1111111011111100010100
31120112010221101102101212000
42232301030133323330110
53033233001033000040
641313153501555300
72346460202423646
oct256611437737424
946463841371760
1012010012000020
113910465745691
12141b754875b30
13691701a1c058
142d7405586896
1515c61bd9e130
hexaec4c7fbf14

12010012000020 has 96 divisors (see below), whose sum is σ = 37366256336640. Its totient is φ = 3202517761920.

The previous prime is 12010012000013. The next prime is 12010012000039. The reversal of 12010012000020 is 2000021001021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12010011999966 and 12010012000011.

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, 11088825 + ... + 12123615.

It is an arithmetic number, because the mean of its divisors is an integer number (389231836840).

Almost surely, 212010012000020 is an apocalyptic number.

12010012000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010012000020 is an abundant number, since it is smaller than the sum of its proper divisors (25356244336620).

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

12010012000020 is a wasteful number, since it uses less digits than its factorization.

12010012000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056302 (or 1056294 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12010012000020 its reverse (2000021001021), we get a palindrome (14010033001041).

The spelling of 12010012000020 in words is "twelve trillion, ten billion, twelve million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 21493 42986 64479 85972 107465 128958 193437 214930 257916 322395 386874 429860 580311 644790 773748 967185 1034791 1160622 1289580 1934370 2069582 2321244 2901555 3104373 3868740 4139164 5173955 5803110 6208746 9313119 10347910 11606220 12417492 15521865 18626238 20695820 27939357 31043730 37252476 46565595 55878714 62087460 93131190 111757428 139696785 186262380 279393570 558787140 22240762963 44481525926 66722288889 88963051852 111203814815 133444577778 200166866667 222407629630 266889155556 333611444445 400333733334 444815259260 600500600001 667222888890 800667466668 1000834333335 1201001200002 1334445777780 2001668666670 2402002400004 3002503000005 4003337333340 6005006000010 12010012000020