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12200101110020 = 2257314713567949
BaseRepresentation
bin1011000110001000111010…
…1100010110000100000100
31121012022121000121201011102
42301202032230112010010
53044341301341010040
641540352111155232
72366266610253635
oct261421654260404
947168530551142
1012200101110020
1139840410254aa
121450565215b18
136a6606950875
143026b929d88c
151625451b8515
hexb188eb16104

12200101110020 has 48 divisors (see below), whose sum is σ = 25972985060400. Its totient is φ = 4812854962176.

The previous prime is 12200101110019. The next prime is 12200101110089. The reversal of 12200101110020 is 2001110100221.

It can be written as a sum of positive squares in 8 ways, for example, as 643242496576 + 11556858613444 = 802024^2 + 3399538^2 .

It is a super-2 number, since 2×122001011100202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12200101109983 and 12200101110010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21197006 + ... + 21764954.

It is an arithmetic number, because the mean of its divisors is an integer number (541103855425).

Almost surely, 212200101110020 is an apocalyptic number.

12200101110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200101110020 is an abundant number, since it is smaller than the sum of its proper divisors (13772883950380).

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

12200101110020 is a wasteful number, since it uses less digits than its factorization.

12200101110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582744 (or 582742 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12200101110020 its reverse (2001110100221), we get a palindrome (14201211210241).

The spelling of 12200101110020 in words is "twelve trillion, two hundred billion, one hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 14713 29426 58852 73565 147130 294260 567949 1074049 1135898 2148098 2271796 2839745 4296196 5370245 5679490 10740490 11358980 21480980 41460277 82920554 165841108 207301385 414602770 829205540 8356233637 16712467274 33424934548 41781168185 83562336370 167124672740 610005055501 1220010111002 2440020222004 3050025277505 6100050555010 12200101110020