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12231001200 = 24352113779317
BaseRepresentation
bin10110110010000011…
…00100010001110000
31011120101210020102110
423121001210101300
5200022114014300
65341400445320
7612044536425
oct133101442160
934511706373
1012231001200
115207099260
122454179840
1311cbc84722
1484058dd4c
154b8ba0550
hex2d9064470

12231001200 has 480 divisors, whose sum is σ = 44592860160. Its totient is φ = 2839449600.

The previous prime is 12231001199. The next prime is 12231001213. The reversal of 12231001200 is 210013221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38583442 + ... + 38583758.

It is an arithmetic number, because the mean of its divisors is an integer number (92901792).

Almost surely, 212231001200 is an apocalyptic number.

12231001200 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 12231001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22296430080).

12231001200 is an abundant number, since it is smaller than the sum of its proper divisors (32361858960).

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

12231001200 is a wasteful number, since it uses less digits than its factorization.

12231001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12231001200 its reverse (210013221), we get a palindrome (12441014421).

The spelling of 12231001200 in words is "twelve billion, two hundred thirty-one million, one thousand, two hundred".