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211200212122220 = 22554559193552129
BaseRepresentation
bin110000000001010111100001…
…100111101011101001101100
31000200210112122220201100100202
4300001113201213223221230
5210140301013300402340
62025104012113413032
762325466066461236
oct6001274147535154
91020715586640322
10211200212122220
1161327563845a82
121b83002386a178
1390b012c941bb9
143a222054d7256
151963c0761dc15
hexc015e19eba6c

211200212122220 has 24 divisors (see below), whose sum is σ = 443528576937600. Its totient is φ = 84478535995392.

The previous prime is 211200212122201. The next prime is 211200212122223. The reversal of 211200212122220 is 22221212002112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211200212122192 and 211200212122201.

It is not an unprimeable number, because it can be changed into a prime (211200212122223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95684885 + ... + 97867244.

It is an arithmetic number, because the mean of its divisors is an integer number (18480357372400).

Almost surely, 2211200212122220 is an apocalyptic number.

211200212122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200212122220 is an abundant number, since it is smaller than the sum of its proper divisors (232328364815380).

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

211200212122220 is a wasteful number, since it uses less digits than its factorization.

211200212122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193606697 (or 193606695 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211200212122220 its reverse (22221212002112), we get a palindrome (233421424124332).

The spelling of 211200212122220 in words is "two hundred eleven trillion, two hundred billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 54559 109118 218236 272795 545590 1091180 193552129 387104258 774208516 967760645 1935521290 3871042580 10560010606111 21120021212222 42240042424444 52800053030555 105600106061110 211200212122220