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12210120200 = 2352678771039
BaseRepresentation
bin10110101111100011…
…11010011000001000
31011111221111101002002
423113301322120020
5200001242321300
65335333130132
7611402211035
oct132761723010
934457441062
1012210120200
1151a6327033
122449189948
1311c78532c5
1483b8b638c
154b6e285d5
hex2d7c7a608

12210120200 has 96 divisors (see below), whose sum is σ = 28872854400. Its totient is φ = 4801040640.

The previous prime is 12210120127. The next prime is 12210120217. The reversal of 12210120200 is 202101221.

It is a happy number.

12210120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11751281 + ... + 11752319.

It is an arithmetic number, because the mean of its divisors is an integer number (300758900).

Almost surely, 212210120200 is an apocalyptic number.

12210120200 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 12210120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436427200).

12210120200 is an abundant number, since it is smaller than the sum of its proper divisors (16662734200).

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

12210120200 is a wasteful number, since it uses less digits than its factorization.

12210120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12210120200 its reverse (202101221), we get a palindrome (12412221421).

The spelling of 12210120200 in words is "twelve billion, two hundred ten million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 877 1039 1340 1675 1754 2078 2680 3350 3508 4156 4385 5195 6700 7016 8312 8770 10390 13400 17540 20780 21925 25975 35080 41560 43850 51950 58759 69613 87700 103900 117518 139226 175400 207800 235036 278452 293795 348065 470072 556904 587590 696130 911203 1175180 1392260 1468975 1740325 1822406 2350360 2784520 2937950 3480650 3644812 4556015 5875900 6961300 7289624 9112030 11751800 13922600 18224060 22780075 36448120 45560150 61050601 91120300 122101202 182240600 244202404 305253005 488404808 610506010 1221012020 1526265025 2442024040 3052530050 6105060100 12210120200