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12200122128 = 2431546716433
BaseRepresentation
bin10110101110010111…
…10001011100010000
31011111020200102022010
423113023301130100
5144441212402003
65334334542520
7611221220115
oct132713613420
934436612263
1012200122128
1151a0718367
122445967a40
1311c576259c
1483a43290c
154b6101003
hex2d72f1710

12200122128 has 40 divisors (see below), whose sum is σ = 31520937888. Its totient is φ = 4066196992.

The previous prime is 12200122127. The next prime is 12200122141. The reversal of 12200122128 is 82122100221.

12200122128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12200122127) 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 7 ways as a sum of consecutive naturals, for example, 734200 + ... + 750632.

Almost surely, 212200122128 is an apocalyptic number.

It is an amenable number.

12200122128 is an abundant number, since it is smaller than the sum of its proper divisors (19320815760).

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

12200122128 is a wasteful number, since it uses less digits than its factorization.

12200122128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31911 (or 31905 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12200122128 its reverse (82122100221), we get a palindrome (94322222349).

The spelling of 12200122128 in words is "twelve billion, two hundred million, one hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 15467 16433 30934 32866 46401 49299 61868 65732 92802 98598 123736 131464 185604 197196 247472 262928 371208 394392 742416 788784 254169211 508338422 762507633 1016676844 1525015266 2033353688 3050030532 4066707376 6100061064 12200122128