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200122120000 = 265411454823
BaseRepresentation
bin1011101001100000110…
…1010011011101000000
3201010112212002000122101
42322120031103131000
511234322230320000
6231533531320144
720313132644665
oct2723015233500
9633485060571
10200122120000
11779647a0820
12329505b0054
1315b4370902a
1499863cda6c
155314047e6a
hex2e98353740

200122120000 has 140 divisors (see below), whose sum is σ = 541351537056. Its totient is φ = 72771520000.

The previous prime is 200122119991. The next prime is 200122120007. The reversal of 200122120000 is 21221002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200122120007) 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 19 ways as a sum of consecutive naturals, for example, 212589 + ... + 667411.

Almost surely, 2200122120000 is an apocalyptic number.

200122120000 is a gapful number since it is divisible by the number (20) 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 200122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270675768528).

200122120000 is an abundant number, since it is smaller than the sum of its proper divisors (341229417056).

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

200122120000 is an equidigital number, since it uses as much as digits as its factorization.

200122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454866 (or 454841 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200122120000 its reverse (21221002), we get a palindrome (200143341002).

The spelling of 200122120000 in words is "two hundred billion, one hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 55000 88000 110000 220000 440000 454823 909646 1819292 2274115 3638584 4548230 5003053 7277168 9096460 10006106 11370575 14554336 18192920 20012212 22741150 25015265 29108672 36385840 40024424 45482300 50030530 56852875 72771680 80048848 90964600 100061060 113705750 125076325 145543360 160097696 181929200 200122120 227411500 250152650 284264375 320195392 363858400 400244240 454823000 500305300 568528750 625381625 727716800 800488480 909646000 1000610600 1137057500 1250763250 1600976960 1819292000 2001221200 2274115000 2501526500 3126908125 3638584000 4002442400 4548230000 5003053000 6253816250 8004884800 9096460000 10006106000 12507632500 18192920000 20012212000 25015265000 40024424000 50030530000 100061060000 200122120000