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12132300220 = 2252989972423
BaseRepresentation
bin10110100110010010…
…00011010110111100
31011022112001201010121
423103021003112330
5144321332101340
65323513144324
7606435564445
oct132311032674
934275051117
1012132300220
1151664047a7
1224270bb0a4
1311b46a7291
1483141a2cc
154b01a594a
hex2d32435bc

12132300220 has 96 divisors (see below), whose sum is σ = 26938396800. Its totient is φ = 4583276544.

The previous prime is 12132300163. The next prime is 12132300227. The reversal of 12132300220 is 2200323121.

12132300220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12132300194 and 12132300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132300227) 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 31 ways as a sum of consecutive naturals, for example, 5005929 + ... + 5008351.

It is an arithmetic number, because the mean of its divisors is an integer number (280608300).

Almost surely, 212132300220 is an apocalyptic number.

12132300220 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 12132300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13469198400).

12132300220 is an abundant number, since it is smaller than the sum of its proper divisors (14806096580).

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

12132300220 is a wasteful number, since it uses less digits than its factorization.

12132300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12132300220 its reverse (2200323121), we get a palindrome (14332623341).

The spelling of 12132300220 in words is "twelve billion, one hundred thirty-two million, three hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 89 97 116 145 178 194 290 356 388 445 485 580 890 970 1780 1940 2423 2581 2813 4846 5162 5626 8633 9692 10324 11252 12115 12905 14065 17266 24230 25810 28130 34532 43165 48460 51620 56260 70267 86330 140534 172660 215647 235031 250357 281068 351335 431294 470062 500714 702670 862588 940124 1001428 1078235 1175155 1251785 1405340 2156470 2350310 2503570 4312940 4700620 5007140 6253763 6815899 12507526 13631798 20917759 25015052 27263596 31268815 34079495 41835518 62537630 68158990 83671036 104588795 125075260 136317980 209177590 418355180 606615011 1213230022 2426460044 3033075055 6066150110 12132300220