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12012010000100 = 225211151296324407
BaseRepresentation
bin1010111011001100001110…
…0101101100111011100100
31120112100002122000022200222
42232303003211230323210
53033301044030000400
641314124034023512
72346560543226035
oct256630345547344
946470078008628
1012012010000100
1139112a0546720
121420011a17b98
1369195c946016
142d7554a80a8c
1515c6d74b9185
hexaecc396cee4

12012010000100 has 144 divisors (see below), whose sum is σ = 28634853252096. Its totient is φ = 4337434320000.

The previous prime is 12012010000097. The next prime is 12012010000121. The reversal of 12012010000100 is 100001021021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492142097 + ... + 492166503.

It is an arithmetic number, because the mean of its divisors is an integer number (198853147584).

Almost surely, 212012010000100 is an apocalyptic number.

12012010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012010000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317426626048).

12012010000100 is an abundant number, since it is smaller than the sum of its proper divisors (16622843251996).

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

12012010000100 is a wasteful number, since it uses less digits than its factorization.

12012010000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27546 (or 27539 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12012010000100 its reverse (100001021021), we get a palindrome (12112011021121).

The spelling of 12012010000100 in words is "twelve trillion, twelve billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 151 220 275 302 550 604 755 1100 1510 1661 2963 3020 3322 3775 5926 6644 7550 8305 11852 14815 15100 16610 24407 29630 32593 33220 41525 48814 59260 65186 74075 83050 97628 122035 130372 148150 162965 166100 244070 268477 296300 325930 447413 488140 536954 610175 651860 814825 894826 1073908 1220350 1342385 1629650 1789652 2237065 2440700 2684770 3259300 3685457 4474130 4921543 5369540 6711925 7370914 8948260 9843086 11185325 13423850 14741828 18427285 19686172 22370650 24607715 26847700 36854570 40540027 44741300 49215430 72317941 73709140 81080054 92136425 98430860 123038575 144635882 162160108 184272850 202700135 246077150 289271764 361589705 368545700 405400270 492154300 723179410 795497351 810800540 1013500675 1446358820 1590994702 1807948525 2027001350 3181989404 3615897050 3977486755 4054002700 7231794100 7954973510 10920009091 15909947020 19887433775 21840018182 39774867550 43680036364 54600045455 79549735100 109200090910 120120100001 218400181820 240240200002 273000227275 480480400004 546000454550 600600500005 1092000909100 1201201000010 2402402000020 3003002500025 6006005000050 12012010000100