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201212120000 = 26545030303
BaseRepresentation
bin1011101101100100101…
…1010100101111000000
3201020100211002202112202
42323121023110233000
511244040300320000
6232234030012332
720352136541363
oct2733113245700
9636324082482
10201212120000
1178373aa5971
1232bb56470a8
1315c88498148
149a4b0880da
155379aa5dd5
hex2ed92d4bc0

201212120000 has 70 divisors (see below), whose sum is σ = 498940762848. Its totient is φ = 80484832000.

The previous prime is 201212119981. The next prime is 201212120017. The reversal of 201212120000 is 21212102.

It is a happy number.

201212120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2475152 + ... + 2555151.

Almost surely, 2201212120000 is an apocalyptic number.

201212120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212120000 is an abundant number, since it is smaller than the sum of its proper divisors (297728642848).

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

201212120000 is an frugal number, since it uses more digits than its factorization.

201212120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030335 (or 5030310 counting only the distinct ones).

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

Adding to 201212120000 its reverse (21212102), we get a palindrome (201233332102).

The spelling of 201212120000 in words is "two hundred one billion, two hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 5030303 10060606 20121212 25151515 40242424 50303030 80484848 100606060 125757575 160969696 201212120 251515150 321939392 402424240 503030300 628787875 804848480 1006060600 1257575750 1609696960 2012121200 2515151500 3143939375 4024242400 5030303000 6287878750 8048484800 10060606000 12575757500 20121212000 25151515000 40242424000 50303030000 100606060000 201212120000