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123200012132 = 22170928976221
BaseRepresentation
bin111001010111101001…
…0101111111101100100
3102210000000120001220022
41302233102233331210
54004303200342012
6132333003454312
711621003552561
oct1625722577544
9383000501808
10123200012132
114828121664a
121ba63527398
13b80515b582
145d6a335868
153310da7472
hex1caf4aff64

123200012132 has 24 divisors (see below), whose sum is σ = 215835331320. Its totient is φ = 61532817920.

The previous prime is 123200012119. The next prime is 123200012153. The reversal of 123200012132 is 231210002321.

It can be written as a sum of positive squares in 4 ways, for example, as 10125189376 + 113074822756 = 100624^2 + 336266^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 123200012132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19800782 + ... + 19807002.

It is an arithmetic number, because the mean of its divisors is an integer number (8993138805).

Almost surely, 2123200012132 is an apocalyptic number.

It is an amenable number.

123200012132 is a deficient number, since it is larger than the sum of its proper divisors (92635319188).

123200012132 is a wasteful number, since it uses less digits than its factorization.

123200012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10831 (or 10829 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 123200012132 its reverse (231210002321), we get a palindrome (354410014453).

The spelling of 123200012132 in words is "one hundred twenty-three billion, two hundred million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 1709 2897 3418 5794 6221 6836 11588 12442 24884 4950973 9901946 10631689 18022237 19803892 21263378 36044474 42526756 72088948 30800003033 61600006066 123200012132