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12201022000 = 24536100511
BaseRepresentation
bin10110101110011110…
…01101001000110000
31011111022101010200201
423113033031020300
5144441430201000
65334410124544
7611231655466
oct132717151060
934438333621
1012201022000
1151a1182462
122446120754
1311c59b905b
1483a5c8836
154b622c96a
hex2d73cd230

12201022000 has 40 divisors (see below), whose sum is σ = 29502076032. Its totient is φ = 4880408000.

The previous prime is 12201021983. The next prime is 12201022003. The reversal of 12201022000 is 22010221.

12201022000 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 Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12201022003) 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 7 ways as a sum of consecutive naturals, for example, 3048256 + ... + 3052255.

Almost surely, 212201022000 is an apocalyptic number.

12201022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201022000 is an abundant number, since it is smaller than the sum of its proper divisors (17301054032).

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

12201022000 is an equidigital number, since it uses as much as digits as its factorization.

12201022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100534 (or 6100518 counting only the distinct ones).

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

Adding to 12201022000 its reverse (22010221), we get a palindrome (12223032221).

The spelling of 12201022000 in words is "twelve billion, two hundred one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6100511 12201022 24402044 30502555 48804088 61005110 97608176 122010220 152512775 244020440 305025550 488040880 610051100 762563875 1220102200 1525127750 2440204400 3050255500 6100511000 12201022000