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20122211111120 = 245251527638889
BaseRepresentation
bin1001001001101000100010…
…01111101101000011010000
32122020122221111020012101122
410210310101033231003100
510114140242021023440
6110444003254221412
74144532102231246
oct444642117550320
978218844205348
1020122211111120
116458866650718
12230b99b954868
13b2c6935bcc81
144d7cc50d4796
1524d6590007b5
hex124d113ed0d0

20122211111120 has 20 divisors (see below), whose sum is σ = 46784140833540. Its totient is φ = 8048884444416.

The previous prime is 20122211111083. The next prime is 20122211111141. The reversal of 20122211111120 is 2111111222102.

It can be written as a sum of positive squares in 2 ways, for example, as 9563506770064 + 10558704341056 = 3092492^2 + 3249416^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 125763819365 + ... + 125763819524.

It is an arithmetic number, because the mean of its divisors is an integer number (2339207041677).

Almost surely, 220122211111120 is an apocalyptic number.

20122211111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122211111120 is an abundant number, since it is smaller than the sum of its proper divisors (26661929722420).

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

20122211111120 is a wasteful number, since it uses less digits than its factorization.

20122211111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251527638902 (or 251527638896 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 20122211111120 its reverse (2111111222102), we get a palindrome (22233322333222).

The spelling of 20122211111120 in words is "twenty trillion, one hundred twenty-two billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251527638889 503055277778 1006110555556 1257638194445 2012221111112 2515276388890 4024442222224 5030552777780 10061105555560 20122211111120