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12221000020 = 2253111964791
BaseRepresentation
bin10110110000110110…
…11010100101010100
31011112200222010101101
423120123122211110
5200012034000040
65340402235444
7611563533445
oct133033324524
934480863341
1012221000020
115201488219
122450955b84
1311c9b92478
1483d1092cc
154b7d7709a
hex2d86da954

12221000020 has 24 divisors (see below), whose sum is σ = 25746634368. Its totient is φ = 4872679200.

The previous prime is 12221000003. The next prime is 12221000039. The reversal of 12221000020 is 2000012221.

12221000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12220999970 and 12221000006.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 976176 + ... + 988615.

It is an arithmetic number, because the mean of its divisors is an integer number (1072776432).

Almost surely, 212221000020 is an apocalyptic number.

12221000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221000020 is an abundant number, since it is smaller than the sum of its proper divisors (13525634348).

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

12221000020 is a wasteful number, since it uses less digits than its factorization.

12221000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965111 (or 1965109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12221000020 its reverse (2000012221), we get a palindrome (14221012241).

The spelling of 12221000020 in words is "twelve billion, two hundred twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 311 622 1244 1555 3110 6220 1964791 3929582 7859164 9823955 19647910 39295820 611050001 1222100002 2444200004 3055250005 6110500010 12221000020