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212212021111020 = 2232572917932445047
BaseRepresentation
bin110000010000000101110110…
…001000101010100011101100
31000211101021022121211120002100
4300100011312020222203230
5210303340204401023040
62031200505011455100
762461545466125120
oct6020056610524354
91024337277746070
10212212021111020
1161687681619a47
121b9741405b7490
13915467a614478
143a5918c039580
1519801c5974b30
hexc1017622a8ec

212212021111020 has 288 divisors, whose sum is σ = 765287836185600. Its totient is φ = 46571359468032.

The previous prime is 212212021111003. The next prime is 212212021111033. The reversal of 212212021111020 is 20111120212212.

212212021111020 is a `hidden beast` number, since 212 + 212 + 0 + 211 + 1 + 10 + 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 = 212212021110984 and 212212021111002.

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 95 ways as a sum of consecutive naturals, for example, 9681864 + ... + 22763183.

It is an arithmetic number, because the mean of its divisors is an integer number (2657249431200).

Almost surely, 2212212021111020 is an apocalyptic number.

212212021111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212021111020 is an abundant number, since it is smaller than the sum of its proper divisors (553075815074580).

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

212212021111020 is a wasteful number, since it uses less digits than its factorization.

212212021111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32445277 (or 32445272 counting only the distinct ones).

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

Adding to 212212021111020 its reverse (20111120212212), we get a palindrome (232323141323232).

The spelling of 212212021111020 in words is "two hundred twelve trillion, two hundred twelve billion, twenty-one million, one hundred eleven thousand, twenty".