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12201120102020 = 2252931221890129
BaseRepresentation
bin1011000110001100101101…
…1011011111011010000100
31121012102020001000212101212
42301203023123133122010
53044400343221231040
641541041151510552
72366334062455043
oct261431333373204
947172201025355
1012201120102020
113984514240253
1214507aa528458
136a6739aaa405
1430277475255a
151625a489bd65
hexb18cb6df684

12201120102020 has 72 divisors (see below), whose sum is σ = 27388492853400. Its totient is φ = 4560151464960.

The previous prime is 12201120101999. The next prime is 12201120102037. The reversal of 12201120102020 is 2020102110221.

It can be written as a sum of positive squares in 4 ways, for example, as 4027559306884 + 8173560795136 = 2006878^2 + 2858944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12201120101986 and 12201120102004.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10387685 + ... + 11502444.

It is an arithmetic number, because the mean of its divisors is an integer number (380395734075).

Almost surely, 212201120102020 is an apocalyptic number.

12201120102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201120102020 is an abundant number, since it is smaller than the sum of its proper divisors (15187372751380).

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

12201120102020 is a wasteful number, since it uses less digits than its factorization.

12201120102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21890229 (or 21890196 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12201120102020 its reverse (2020102110221), we get a palindrome (14221222212241).

The spelling of 12201120102020 in words is "twelve trillion, two hundred one billion, one hundred twenty million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 961 1798 1922 3596 3844 4495 4805 8990 9610 17980 19220 27869 55738 111476 139345 278690 557380 21890129 43780258 87560516 109450645 218901290 437802580 634813741 678593999 1269627482 1357187998 2539254964 2714375996 3174068705 3392969995 6348137410 6785939990 12696274820 13571879980 19679225971 21036413969 39358451942 42072827938 78716903884 84145655876 98396129855 105182069845 196792259710 210364139690 393584519420 420728279380 610056005101 1220112010202 2440224020404 3050280025505 6100560051010 12201120102020