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12200020320 = 253589347823
BaseRepresentation
bin10110101110010110…
…11000100101100000
31011111020111020122110
423113023120211200
5144441201122240
65334332435320
7611220314235
oct132713304540
934436436573
1012200020320
1151a0658924
122445918b40
1311c5728147
1483a40778c
154b60d0c80
hex2d72d8960

12200020320 has 192 divisors, whose sum is σ = 39021212160. Its totient is φ = 3203616768.

The previous prime is 12200020307. The next prime is 12200020321. The reversal of 12200020320 is 2302000221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12200020296 and 12200020305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200020321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14823429 + ... + 14824251.

It is an arithmetic number, because the mean of its divisors is an integer number (203235480).

Almost surely, 212200020320 is an apocalyptic number.

12200020320 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 12200020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19510606080).

12200020320 is an abundant number, since it is smaller than the sum of its proper divisors (26821191840).

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

12200020320 is a wasteful number, since it uses less digits than its factorization.

12200020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12200020320 its reverse (2302000221), we get a palindrome (14502020541).

The spelling of 12200020320 in words is "twelve billion, two hundred million, twenty thousand, three hundred twenty".