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12020211110120 = 2352953195514169
BaseRepresentation
bin1010111011101010110001…
…1010011101000011101000
31120120010021011211212200112
42232322230122131003220
53033414343021010440
641322001520153452
72350301015425553
oct256725432350350
946503234755615
1012020211110120
113914819894aa4
121421720468888
13692668a41745
142d7ad1d3969a
1515ca1748c965
hexaeeac69d0e8

12020211110120 has 64 divisors (see below), whose sum is σ = 28505965986000. Its totient is φ = 4554698057728.

The previous prime is 12020211110077. The next prime is 12020211110129. The reversal of 12020211110120 is 2101111202021.

It can be written as a sum of positive squares in 8 ways, for example, as 5478473896996 + 6541737213124 = 2340614^2 + 2557682^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12020211110095 and 12020211110104.

It is not an unprimeable number, because it can be changed into a prime (12020211110129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97695605 + ... + 97818564.

Almost surely, 212020211110120 is an apocalyptic number.

12020211110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020211110120 is an abundant number, since it is smaller than the sum of its proper divisors (16485754875880).

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

12020211110120 is a wasteful number, since it uses less digits than its factorization.

12020211110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195514262 (or 195514258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12020211110120 its reverse (2101111202021), we get a palindrome (14121322312141).

The spelling of 12020211110120 in words is "twelve trillion, twenty billion, two hundred eleven million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 265 290 424 530 580 1060 1160 1537 2120 3074 6148 7685 12296 15370 30740 61480 195514169 391028338 782056676 977570845 1564113352 1955141690 3910283380 5669910901 7820566760 10362250957 11339821802 20724501914 22679643604 28349554505 41449003828 45359287208 51811254785 56699109010 82898007656 103622509570 113398218020 207245019140 226796436040 300505277753 414490038280 601010555506 1202021111012 1502526388765 2404042222024 3005052777530 6010105555060 12020211110120