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212112122121 = 33101556913967
BaseRepresentation
bin1100010110001011011…
…1100010000100001001
3202021111110101020111000
43011202313202010021
511433401200401441
6241235402525213
721216223201254
oct3054267420411
9667443336430
10212112122121
1181a57843889
1235137b06809
131700477cc43
14a3a296809b
1557b69912b6
hex3162de2109

212112122121 has 32 divisors (see below), whose sum is σ = 317431180800. Its totient is φ = 139972838400.

The previous prime is 212112122111. The next prime is 212112122129. The reversal of 212112122121 is 121221211212.

It is not a de Polignac number, because 212112122121 - 27 = 212112121993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212112122094 and 212112122103.

It is not an unprimeable number, because it can be changed into a prime (212112122129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15179680 + ... + 15193646.

It is an arithmetic number, because the mean of its divisors is an integer number (9919724400).

Almost surely, 2212112122121 is an apocalyptic number.

It is an amenable number.

212112122121 is a deficient number, since it is larger than the sum of its proper divisors (105319058679).

212112122121 is a wasteful number, since it uses less digits than its factorization.

212112122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19646 (or 19640 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 212112122121 its reverse (121221211212), we get a palindrome (333333333333).

The spelling of 212112122121 in words is "two hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 101 303 909 2727 5569 13967 16707 41901 50121 125703 150363 377109 562469 1410667 1687407 4232001 5062221 12696003 15186663 38088009 77782223 233346669 700040007 2100120021 7856004523 23568013569 70704040707 212112122121