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12201020020 = 2257175126479
BaseRepresentation
bin10110101110011110…
…01100101001110100
31011111022101000222101
423113033030221310
5144441430120040
65334410111444
7611231646640
oct132717145164
934438330871
1012201020020
1151a1180a22
12244611b584
1311c59b8197
1483a5c7c20
154b622c09a
hex2d73cca74

12201020020 has 48 divisors (see below), whose sum is σ = 31004951040. Its totient is φ = 3937135104.

The previous prime is 12201020009. The next prime is 12201020023. The reversal of 12201020020 is 2002010221.

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 = 12201019979 and 12201020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201020023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2560860 + ... + 2565619.

It is an arithmetic number, because the mean of its divisors is an integer number (645936480).

Almost surely, 212201020020 is an apocalyptic number.

12201020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201020020 is an abundant number, since it is smaller than the sum of its proper divisors (18803931020).

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

12201020020 is a wasteful number, since it uses less digits than its factorization.

12201020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126512 (or 5126510 counting only the distinct ones).

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

Adding to 12201020020 its reverse (2002010221), we get a palindrome (14203030241).

The spelling of 12201020020 in words is "twelve billion, two hundred one million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 5126479 10252958 20505916 25632395 35885353 51264790 71770706 87150143 102529580 143541412 174300286 179426765 348600572 358853530 435750715 610051001 717707060 871501430 1220102002 1743002860 2440204004 3050255005 6100510010 12201020020