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120012220210000 = 245425469471209
BaseRepresentation
bin11011010010011010000101…
…110000010001101101010000
3120201221001111222021000121211
4123102122011300101231100
5111212240011333210000
61103124504114225504
734164411460230436
oct3322320560215520
9521831458230554
10120012220210000
113526a995661918
1211563209885294
1351c71470a3671
14218c8a0010d56
15dd1bd73c37ba
hex6d2685c11b50

120012220210000 has 100 divisors (see below), whose sum is σ = 290573611445700. Its totient is φ = 48002901376000.

The previous prime is 120012220209983. The next prime is 120012220210019. The reversal of 120012220210000 is 12022210021.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 99166384565824 + 20845835644176 = 9958232^2 + 4565724^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 254454396 + ... + 254925604.

It is an arithmetic number, because the mean of its divisors is an integer number (2905736114457).

Almost surely, 2120012220210000 is an apocalyptic number.

120012220210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120012220210000 is an abundant number, since it is smaller than the sum of its proper divisors (170561391235700).

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

120012220210000 is an equidigital number, since it uses as much as digits as its factorization.

120012220210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496706 (or 496685 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120012220210000 its reverse (12022210021), we get a palindrome (120024242420021).

The spelling of 120012220210000 in words is "one hundred twenty trillion, twelve billion, two hundred twenty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 25469 50938 101876 127345 203752 254690 407504 471209 509380 636725 942418 1018760 1273450 1884836 2037520 2356045 2546900 3183625 3769672 4712090 5093800 6367250 7539344 9424180 10187600 11780225 12734500 15918125 18848360 23560450 25469000 31836250 37696720 47120900 50938000 58901125 63672500 94241800 117802250 127345000 188483600 235604500 254690000 294505625 471209000 589011250 942418000 1178022500 2356045000 4712090000 12001222021 24002444042 48004888084 60006110105 96009776168 120012220210 192019552336 240024440420 300030550525 480048880840 600061101050 960097761680 1200122202100 1500152752625 2400244404200 3000305505250 4800488808400 6000611010500 7500763763125 12001222021000 15001527526250 24002444042000 30003055052500 60006110105000 120012220210000