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12341221200 = 2432527112112
BaseRepresentation
bin10110111111001100…
…00001011101010000
31011212002011222211200
423133212001131100
5200233323034300
65400335111200
7614553435510
oct133746013520
934762158750
1012341221200
115263330170
122485072500
131218a65c69
14851081840
154c36c3200
hex2df981750

12341221200 has 540 divisors, whose sum is σ = 53649539424. Its totient is φ = 2552256000.

The previous prime is 12341221199. The next prime is 12341221201. The reversal of 12341221200 is 212214321.

It is a happy number.

12341221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12341221199) and next prime (12341221201).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12341221201) 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 107 ways as a sum of consecutive naturals, for example, 58489095 + ... + 58489305.

Almost surely, 212341221200 is an apocalyptic number.

12341221200 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 12341221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26824769712).

12341221200 is an abundant number, since it is smaller than the sum of its proper divisors (41308318224).

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

12341221200 is a wasteful number, since it uses less digits than its factorization.

12341221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12341221200 its reverse (212214321), we get a palindrome (12553435521).

The spelling of 12341221200 in words is "twelve billion, three hundred forty-one million, two hundred twenty-one thousand, two hundred".