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20111021122120 = 235672112001677
BaseRepresentation
bin1001001001010011101100…
…10001010010001001001000
32122012121001122021212020121
410210221312101102021020
510113444332401401440
6110434513042033024
74143654565004515
oct444516621221110
978177048255217
1020111021122120
116454044148325
122309798348774
13b2b5cc204bc6
144d7542cca30c
1524d20193334a
hex124a76452248

20111021122120 has 48 divisors (see below), whose sum is σ = 45935248198140. Its totient is φ = 7924342580352.

The previous prime is 20111021122099. The next prime is 20111021122121. The reversal of 20111021122120 is 2122112011102.

It can be written as a sum of positive squares in 2 ways, for example, as 18422585959716 + 1688435162404 = 4292154^2 + 1299398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20111021122094 and 20111021122103.

It is not an unprimeable number, because it can be changed into a prime (20111021122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55821279 + ... + 56180398.

Almost surely, 220111021122120 is an apocalyptic number.

20111021122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111021122120 is an abundant number, since it is smaller than the sum of its proper divisors (25824227076020).

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

20111021122120 is a wasteful number, since it uses less digits than its factorization.

20111021122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112001822 (or 112001751 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20111021122120 its reverse (2122112011102), we get a palindrome (22233133133222).

The spelling of 20111021122120 in words is "twenty trillion, one hundred eleven billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 4489 8978 17956 22445 35912 44890 89780 179560 112001677 224003354 448006708 560008385 896013416 1120016770 2240033540 4480067080 7504112359 15008224718 30016449436 37520561795 60032898872 75041123590 150082247180 300164494360 502775528053 1005551056106 2011102112212 2513877640265 4022204224424 5027755280530 10055510561060 20111021122120