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12201001200 = 2432523838849
BaseRepresentation
bin10110101110011110…
…01000000011110000
31011111022100002011100
423113033020003300
5144441424014300
65334405444400
7611231541033
oct132717100360
934438302140
1012201001200
1151a1168873
122446110700
1311c59ac74b
1483a5c101a
154b6226700
hex2d73c80f0

12201001200 has 180 divisors, whose sum is σ = 42456211200. Its totient is φ = 3244738560.

The previous prime is 12201001171. The next prime is 12201001213. The reversal of 12201001200 is 210010221.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1374376 + ... + 1383224.

It is an arithmetic number, because the mean of its divisors is an integer number (235867840).

Almost surely, 212201001200 is an apocalyptic number.

12201001200 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 12201001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228105600).

12201001200 is an abundant number, since it is smaller than the sum of its proper divisors (30255210000).

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

12201001200 is a wasteful number, since it uses less digits than its factorization.

12201001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9256 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12201001200 its reverse (210010221), we get a palindrome (12411011421).

The spelling of 12201001200 in words is "twelve billion, two hundred one million, one thousand, two hundred".