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12001000220 = 22511210694639
BaseRepresentation
bin10110010110101000…
…01011101100011100
31010222100222222101122
423023110023230130
5144034224001340
65302503030112
7603252550556
oct131324135434
933870888348
1012001000220
1150a9285100
1223ab13b338
131193424b81
1481bbdc4d6
154a38bbdb5
hex2cb50bb1c

12001000220 has 72 divisors (see below), whose sum is σ = 27733372800. Its totient is φ = 4358977920.

The previous prime is 12001000217. The next prime is 12001000223. The reversal of 12001000220 is 2200010021.

12001000220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12001000217) and next prime (12001000223).

It is a junction number, because it is equal to n+sod(n) for n = 12001000198 and 12001000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001000223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2584661 + ... + 2589299.

Almost surely, 212001000220 is an apocalyptic number.

12001000220 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 12001000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13866686400).

12001000220 is an abundant number, since it is smaller than the sum of its proper divisors (15732372580).

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

12001000220 is a wasteful number, since it uses less digits than its factorization.

12001000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5739 (or 5726 counting only the distinct ones).

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

Adding to 12001000220 its reverse (2200010021), we get a palindrome (14201010241).

The spelling of 12001000220 in words is "twelve billion, one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1069 1210 2138 2420 4276 4639 5345 9278 10690 11759 18556 21380 23195 23518 46390 47036 51029 58795 92780 102058 117590 129349 204116 235180 255145 258698 510290 517396 561319 646745 1020580 1122638 1293490 2245276 2586980 2806595 4959091 5613190 9918182 11226380 19836364 24795455 49590910 54550001 99181820 109100002 218200004 272750005 545500010 600050011 1091000020 1200100022 2400200044 3000250055 6000500110 12001000220