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120020212212000 = 2535310001684351
BaseRepresentation
bin11011010010100001100010…
…000111010110000100100000
3120201221211010221121210022220
4123102201202013112010200
5111212402343311241000
61103132305130431040
734165113513150012
oct3322414207260440
9521854127553286
10120020212212000
1135273316967251
121156487a292480
1351c7b1ba76229
14218d01b5d61b2
15dd2003d3e1a0
hex6d28621d6120

120020212212000 has 96 divisors (see below), whose sum is σ = 393186215245824. Its totient is φ = 32005389920000.

The previous prime is 120020212211959. The next prime is 120020212212001. The reversal of 120020212212000 is 212212020021.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (120020212212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5000830176 + ... + 5000854175.

It is an arithmetic number, because the mean of its divisors is an integer number (4095689742144).

Almost surely, 2120020212212000 is an apocalyptic number.

120020212212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020212212000 is an abundant number, since it is smaller than the sum of its proper divisors (273166003033824).

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

120020212212000 is a wasteful number, since it uses less digits than its factorization.

120020212212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001684379 (or 10001684361 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120020212212000 its reverse (212212020021), we get a palindrome (120232424232021).

The spelling of 120020212212000 in words is "one hundred twenty trillion, twenty billion, two hundred twelve million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 10001684351 20003368702 30005053053 40006737404 50008421755 60010106106 80013474808 100016843510 120020212212 150025265265 160026949616 200033687020 240040424424 250042108775 300050530530 320053899232 400067374040 480080848848 500084217550 600101061060 750126326325 800134748080 960161697696 1000168435100 1200202122120 1250210543875 1500252652650 1600269496160 2000336870200 2400404244240 2500421087750 3000505305300 3750631631625 4000673740400 4800808488480 5000842175500 6001010610600 7501263263250 8001347480800 10001684351000 12002021221200 15002526526500 20003368702000 24004042442400 30005053053000 40006737404000 60010106106000 120020212212000