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12320122200 = 2335229708053
BaseRepresentation
bin10110111100101011…
…00010010101011000
31011210121111001110020
423132111202111120
5200212422402300
65354302550440
7614206211421
oct133625422530
934717431406
1012320122200
11525242a181
122479b98420
131214589549
1484c34c648
154c19068a0
hex2de562558

12320122200 has 96 divisors (see below), whose sum is σ = 39509413200. Its totient is φ = 3172072960.

The previous prime is 12320122169. The next prime is 12320122223. The reversal of 12320122200 is 222102321.

It is a happy number.

12320122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123201222002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12320122200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 336627 + ... + 371426.

Almost surely, 212320122200 is an apocalyptic number.

12320122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320122200 is an abundant number, since it is smaller than the sum of its proper divisors (27189291000).

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

12320122200 is a wasteful number, since it uses less digits than its factorization.

12320122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708101 (or 708092 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12320122200 its reverse (222102321), we get a palindrome (12542224521).

The spelling of 12320122200 in words is "twelve billion, three hundred twenty million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8700 17400 708053 1416106 2124159 2832212 3540265 4248318 5664424 7080530 8496636 10620795 14161060 16993272 17701325 20533537 21241590 28322120 35402650 41067074 42483180 53103975 61600611 70805300 82134148 84966360 102667685 106207950 123201222 141610600 164268296 205335370 212415900 246402444 308003055 410670740 424831800 492804888 513338425 616006110 821341480 1026676850 1232012220 1540015275 2053353700 2464024440 3080030550 4106707400 6160061100 12320122200