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12201020000 = 255413167281
BaseRepresentation
bin10110101110011110…
…01100101001100000
31011111022101000221122
423113033030221200
5144441430120000
65334410111412
7611231646611
oct132717145140
934438330848
1012201020000
1151a1180a04
12244611b568
1311c59b8180
1483a5c7c08
154b622c085
hex2d73cca60

12201020000 has 240 divisors, whose sum is σ = 32634578592. Its totient is φ = 4462080000.

The previous prime is 12201019997. The next prime is 12201020009. The reversal of 12201020000 is 2010221.

12201020000 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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12201020000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201020009) 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 39 ways as a sum of consecutive naturals, for example, 43419860 + ... + 43420140.

Almost surely, 212201020000 is an apocalyptic number.

12201020000 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 12201020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16317289296).

12201020000 is an abundant number, since it is smaller than the sum of its proper divisors (20433558592).

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

12201020000 is a wasteful number, since it uses less digits than its factorization.

12201020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 468 counting only the distinct ones).

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

Adding to 12201020000 its reverse (2010221), we get a palindrome (12203030221).

The spelling of 12201020000 in words is "twelve billion, two hundred one million, twenty thousand".