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22212201122120 = 2351972818807249
BaseRepresentation
bin1010000110011101011100…
…10110111000100101001000
32220122110120111011021011002
411003032232112320211020
510402411041441401440
6115124051101354132
74451531023220402
oct503165626704510
986573514137132
1022212201122120
11709416150a719
1225a8a59268948
13c517a8889a59
1456b10d401b72
15287bcc535115
hex1433ae5b8948

22212201122120 has 32 divisors (see below), whose sum is σ = 50231145195000. Its totient is φ = 8839779529728.

The previous prime is 22212201122117. The next prime is 22212201122179. The reversal of 22212201122120 is 2122110221222.

It can be written as a sum of positive squares in 4 ways, for example, as 16542001958596 + 5670199163524 = 4067186^2 + 2381218^2 .

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 = 22212201122092 and 22212201122101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1409395745 + ... + 1409411504.

Almost surely, 222212201122120 is an apocalyptic number.

22212201122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212201122120 is an abundant number, since it is smaller than the sum of its proper divisors (28018944072880).

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

22212201122120 is a wasteful number, since it uses less digits than its factorization.

22212201122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818807457 (or 2818807453 counting only the distinct ones).

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

Adding to 22212201122120 its reverse (2122110221222), we get a palindrome (24334311343342).

The spelling of 22212201122120 in words is "twenty-two trillion, two hundred twelve billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1970 3940 7880 2818807249 5637614498 11275228996 14094036245 22550457992 28188072490 56376144980 112752289960 555305028053 1110610056106 2221220112212 2776525140265 4442440224424 5553050280530 11106100561060 22212201122120