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201212020212120 = 233253677152004971
BaseRepresentation
bin101101110000000001010010…
…111111010100000110011000
3222101102200101122111012201100
4231300001102333110012120
5202333124204133241440
61551535305340551400
760245042302166001
oct5560012277240630
9871380348435640
10201212020212120
11591265a1906745
121a6982a2552560
13883729ac67228
1437989dc70c1a8
15183debe18e230
hexb70052fd4198

201212020212120 has 96 divisors (see below), whose sum is σ = 654116915808720. Its totient is φ = 53641945893120.

The previous prime is 201212020212013. The next prime is 201212020212121. The reversal of 201212020212120 is 21212020212102.

It is a happy number.

201212020212120 is a `hidden beast` number, since 201 + 2 + 120 + 202 + 121 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201212020212093 and 201212020212102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212020212121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74678766 + ... + 77326205.

Almost surely, 2201212020212120 is an apocalyptic number.

201212020212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212020212120 is an abundant number, since it is smaller than the sum of its proper divisors (452904895596600).

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

201212020212120 is a wasteful number, since it uses less digits than its factorization.

201212020212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152008665 (or 152008658 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Subtracting from 201212020212120 its sum of digits (18), we obtain a palindrome (201212020212102).

Adding to 201212020212120 its reverse (21212020212102), we get a palindrome (222424040424222).

The spelling of 201212020212120 in words is "two hundred one trillion, two hundred twelve billion, twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3677 7354 11031 14708 18385 22062 29416 33093 36770 44124 55155 66186 73540 88248 110310 132372 147080 165465 220620 264744 330930 441240 661860 1323720 152004971 304009942 456014913 608019884 760024855 912029826 1216039768 1368044739 1520049710 1824059652 2280074565 2736089478 3040099420 3648119304 4560149130 5472178956 6080198840 6840223695 9120298260 10944357912 13680447390 18240596520 27360894780 54721789560 558922278367 1117844556734 1676766835101 2235689113468 2794611391835 3353533670202 4471378226936 5030300505303 5589222783670 6707067340404 8383834175505 10060601010606 11178445567340 13414134680808 16767668351010 20121202021212 22356891134680 25151502526515 33535336702020 40242404042424 50303005053030 67070673404040 100606010106060 201212020212120