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12200505520 = 245721786617
BaseRepresentation
bin10110101110011010…
…01111000010110000
31011111021101220012211
423113031033002300
5144441312134040
65334351101504
7611224404640
oct132715170260
934437356184
1012200505520
1151a095a415
122445b11894
1311c5867c48
1483a4d2520
154b61798ea
hex2d734f0b0

12200505520 has 40 divisors (see below), whose sum is σ = 32418487584. Its totient is φ = 4183030272.

The previous prime is 12200505509. The next prime is 12200505599. The reversal of 12200505520 is 2550500221.

12200505520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12200505491 and 12200505500.

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, 10892749 + ... + 10893868.

Almost surely, 212200505520 is an apocalyptic number.

12200505520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200505520 is an abundant number, since it is smaller than the sum of its proper divisors (20217982064).

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

12200505520 is a wasteful number, since it uses less digits than its factorization.

12200505520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21786637 (or 21786631 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The spelling of 12200505520 in words is "twelve billion, two hundred million, five hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 21786617 43573234 87146468 108933085 152506319 174292936 217866170 305012638 348585872 435732340 610025276 762531595 871464680 1220050552 1525063190 1742929360 2440101104 3050126380 6100252760 12200505520