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221022121201220 = 225109492772057477
BaseRepresentation
bin110010010000010010111001…
…000001011000111001000100
31001222120111201122110110000002
4302100102321001120321010
5212432211301011414340
62102024054420140432
764361215130240453
oct6220227101307104
91058514648413002
10221022121201220
1164473a56424159
1220957699237718
1396433b1818011
143c817561b8b9a
151a8445c75b715
hexc904b9058e44

221022121201220 has 48 divisors (see below), whose sum is σ = 468414412084080. Its totient is φ = 87595937892864.

The previous prime is 221022121201181. The next prime is 221022121201243. The reversal of 221022121201220 is 22102121220122.

It can be written as a sum of positive squares in 8 ways, for example, as 30083228493124 + 190938892708096 = 5484818^2 + 13818064^2 .

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 = 221022121201192 and 221022121201201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106395122 + ... + 108452598.

It is an arithmetic number, because the mean of its divisors is an integer number (9758633585085).

Almost surely, 2221022121201220 is an apocalyptic number.

221022121201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022121201220 is an abundant number, since it is smaller than the sum of its proper divisors (247392290882860).

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

221022121201220 is a wasteful number, since it uses less digits than its factorization.

221022121201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106872 (or 2106870 counting only the distinct ones).

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

Adding to 221022121201220 its reverse (22102121220122), we get a palindrome (243124242421342).

The spelling of 221022121201220 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred twenty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 49277 98554 197108 246385 492770 985540 2057477 4114954 5371193 8229908 10287385 10742386 20574770 21484772 26855965 41149540 53711930 107423860 224264993 448529986 897059972 1121324965 2242649930 4485299860 101386294129 202772588258 405545176516 506931470645 1013862941290 2027725882580 11051106060061 22102212120122 44204424240244 55255530300305 110511060600610 221022121201220